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Finding the Third Proportional to 817,604,406 and 1,226,106,321.75

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Solution

The third proportional to 817,604,406 and 1,226,106,321.75 is: 1,838,709,162.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    817,604,406 : 1,226,106,321.75 = 1,226,106,321.75 : x
  2. Step 2: Convert to fraction form
    817,604,406/1,226,106,321.75 = 1,226,106,321.75/x
  3. Step 3: Cross multiply
    817,604,406x = 1,226,106,321.75 × 1,226,106,321.75
  4. Step 4: Simplify right side
    817,604,406x = 1,503,336,712,235,314,432
  5. Step 5: Solve for x
    x = 1,503,336,712,235,314,432/817,604,406
  6. Step 6: Final answer
    x = 1,838,709,162.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.