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Finding the Third Proportional to 656,822 and 1,418,428

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Solution

The third proportional to 656,822 and 1,418,428 is: 3,063,140.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,822 : 1,418,428 = 1,418,428 : x
  2. Step 2: Convert to fraction form
    656,822/1,418,428 = 1,418,428/x
  3. Step 3: Cross multiply
    656,822x = 1,418,428 × 1,418,428
  4. Step 4: Simplify right side
    656,822x = 2,011,937,991,184
  5. Step 5: Solve for x
    x = 2,011,937,991,184/656,822
  6. Step 6: Final answer
    x = 3,063,140.38

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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.