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Finding the Third Proportional to 563,646.09 and 1,182,681

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Solution

The third proportional to 563,646.09 and 1,182,681 is: 2,481,582.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,646.09 : 1,182,681 = 1,182,681 : x
  2. Step 2: Convert to fraction form
    563,646.09/1,182,681 = 1,182,681/x
  3. Step 3: Cross multiply
    563,646.09x = 1,182,681 × 1,182,681
  4. Step 4: Simplify right side
    563,646.09x = 1,398,734,347,761
  5. Step 5: Solve for x
    x = 1,398,734,347,761/563,646.09
  6. Step 6: Final answer
    x = 2,481,582.62

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.