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Finding the Third Proportional to 953,475 and 1,413,720

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Solution

The third proportional to 953,475 and 1,413,720 is: 2,096,126.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    953,475 : 1,413,720 = 1,413,720 : x
  2. Step 2: Convert to fraction form
    953,475/1,413,720 = 1,413,720/x
  3. Step 3: Cross multiply
    953,475x = 1,413,720 × 1,413,720
  4. Step 4: Simplify right side
    953,475x = 1,998,604,238,400
  5. Step 5: Solve for x
    x = 1,998,604,238,400/953,475
  6. Step 6: Final answer
    x = 2,096,126.52

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.