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Finding the Third Proportional to 803,466 and 1,101,729

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Solution

The third proportional to 803,466 and 1,101,729 is: 1,510,713.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    803,466 : 1,101,729 = 1,101,729 : x
  2. Step 2: Convert to fraction form
    803,466/1,101,729 = 1,101,729/x
  3. Step 3: Cross multiply
    803,466x = 1,101,729 × 1,101,729
  4. Step 4: Simplify right side
    803,466x = 1,213,806,789,441
  5. Step 5: Solve for x
    x = 1,213,806,789,441/803,466
  6. Step 6: Final answer
    x = 1,510,713.32

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.