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Finding the Third Proportional to 693,038 and 1,036,681

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Solution

The third proportional to 693,038 and 1,036,681 is: 1,550,719.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    693,038 : 1,036,681 = 1,036,681 : x
  2. Step 2: Convert to fraction form
    693,038/1,036,681 = 1,036,681/x
  3. Step 3: Cross multiply
    693,038x = 1,036,681 × 1,036,681
  4. Step 4: Simplify right side
    693,038x = 1,074,707,495,761
  5. Step 5: Solve for x
    x = 1,074,707,495,761/693,038
  6. Step 6: Final answer
    x = 1,550,719.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.