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Finding the Third Proportional to 762,741 and 1,035,897

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Solution

The third proportional to 762,741 and 1,035,897 is: 1,406,876.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,741 : 1,035,897 = 1,035,897 : x
  2. Step 2: Convert to fraction form
    762,741/1,035,897 = 1,035,897/x
  3. Step 3: Cross multiply
    762,741x = 1,035,897 × 1,035,897
  4. Step 4: Simplify right side
    762,741x = 1,073,082,594,609
  5. Step 5: Solve for x
    x = 1,073,082,594,609/762,741
  6. Step 6: Final answer
    x = 1,406,876.77

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.