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Finding the Third Proportional to 1,435,216 and 2,312,502

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Solution

The third proportional to 1,435,216 and 2,312,502 is: 3,726,035.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,435,216 : 2,312,502 = 2,312,502 : x
  2. Step 2: Convert to fraction form
    1,435,216/2,312,502 = 2,312,502/x
  3. Step 3: Cross multiply
    1,435,216x = 2,312,502 × 2,312,502
  4. Step 4: Simplify right side
    1,435,216x = 5,347,665,500,004
  5. Step 5: Solve for x
    x = 5,347,665,500,004/1,435,216
  6. Step 6: Final answer
    x = 3,726,035.31

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.