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Finding the Third Proportional to 723,822 and 1,064,681

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Solution

The third proportional to 723,822 and 1,064,681 is: 1,566,055.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    723,822 : 1,064,681 = 1,064,681 : x
  2. Step 2: Convert to fraction form
    723,822/1,064,681 = 1,064,681/x
  3. Step 3: Cross multiply
    723,822x = 1,064,681 × 1,064,681
  4. Step 4: Simplify right side
    723,822x = 1,133,545,631,761
  5. Step 5: Solve for x
    x = 1,133,545,631,761/723,822
  6. Step 6: Final answer
    x = 1,566,055.79

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.