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Finding the Third Proportional to 702,979 and 1,534,541

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Solution

The third proportional to 702,979 and 1,534,541 is: 3,349,767.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,979 : 1,534,541 = 1,534,541 : x
  2. Step 2: Convert to fraction form
    702,979/1,534,541 = 1,534,541/x
  3. Step 3: Cross multiply
    702,979x = 1,534,541 × 1,534,541
  4. Step 4: Simplify right side
    702,979x = 2,354,816,080,681
  5. Step 5: Solve for x
    x = 2,354,816,080,681/702,979
  6. Step 6: Final answer
    x = 3,349,767.32

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.