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Finding the Third Proportional to 718,463 and 1,127,051

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Solution

The third proportional to 718,463 and 1,127,051 is: 1,768,001.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    718,463 : 1,127,051 = 1,127,051 : x
  2. Step 2: Convert to fraction form
    718,463/1,127,051 = 1,127,051/x
  3. Step 3: Cross multiply
    718,463x = 1,127,051 × 1,127,051
  4. Step 4: Simplify right side
    718,463x = 1,270,243,956,601
  5. Step 5: Solve for x
    x = 1,270,243,956,601/718,463
  6. Step 6: Final answer
    x = 1,768,001.91

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.