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Finding the Third Proportional to 817,604,523 and 1,226,106,618.75

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Solution

The third proportional to 817,604,523 and 1,226,106,618.75 is: 1,838,709,789.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    817,604,523 : 1,226,106,618.75 = 1,226,106,618.75 : x
  2. Step 2: Convert to fraction form
    817,604,523/1,226,106,618.75 = 1,226,106,618.75/x
  3. Step 3: Cross multiply
    817,604,523x = 1,226,106,618.75 × 1,226,106,618.75
  4. Step 4: Simplify right side
    817,604,523x = 1,503,337,440,542,557,952
  5. Step 5: Solve for x
    x = 1,503,337,440,542,557,952/817,604,523
  6. Step 6: Final answer
    x = 1,838,709,789.70

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