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Finding the Third Proportional to 1,057,331 and 1,702,459

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Solution

The third proportional to 1,057,331 and 1,702,459 is: 2,741,210.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057,331 : 1,702,459 = 1,702,459 : x
  2. Step 2: Convert to fraction form
    1,057,331/1,702,459 = 1,702,459/x
  3. Step 3: Cross multiply
    1,057,331x = 1,702,459 × 1,702,459
  4. Step 4: Simplify right side
    1,057,331x = 2,898,366,646,681
  5. Step 5: Solve for x
    x = 2,898,366,646,681/1,057,331
  6. Step 6: Final answer
    x = 2,741,210.32

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Why These Related Problems?

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