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Finding the Third Proportional to 709,452 and 1,576,368

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Solution

The third proportional to 709,452 and 1,576,368 is: 3,502,613.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,452 : 1,576,368 = 1,576,368 : x
  2. Step 2: Convert to fraction form
    709,452/1,576,368 = 1,576,368/x
  3. Step 3: Cross multiply
    709,452x = 1,576,368 × 1,576,368
  4. Step 4: Simplify right side
    709,452x = 2,484,936,071,424
  5. Step 5: Solve for x
    x = 2,484,936,071,424/709,452
  6. Step 6: Final answer
    x = 3,502,613.39

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.