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Finding the Third Proportional to 1,457,916 and 3,155,448

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Solution

The third proportional to 1,457,916 and 3,155,448 is: 6,829,510.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,457,916 : 3,155,448 = 3,155,448 : x
  2. Step 2: Convert to fraction form
    1,457,916/3,155,448 = 3,155,448/x
  3. Step 3: Cross multiply
    1,457,916x = 3,155,448 × 3,155,448
  4. Step 4: Simplify right side
    1,457,916x = 9,956,852,080,704
  5. Step 5: Solve for x
    x = 9,956,852,080,704/1,457,916
  6. Step 6: Final answer
    x = 6,829,510.12

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.