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Finding the Third Proportional to 812,776 and 1,265,704

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Solution

The third proportional to 812,776 and 1,265,704 is: 1,971,030.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    812,776 : 1,265,704 = 1,265,704 : x
  2. Step 2: Convert to fraction form
    812,776/1,265,704 = 1,265,704/x
  3. Step 3: Cross multiply
    812,776x = 1,265,704 × 1,265,704
  4. Step 4: Simplify right side
    812,776x = 1,602,006,615,616
  5. Step 5: Solve for x
    x = 1,602,006,615,616/812,776
  6. Step 6: Final answer
    x = 1,971,030.91

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.