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Finding the Third Proportional to 651,142 and 1,395,733

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Solution

The third proportional to 651,142 and 1,395,733 is: 2,991,775.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,142 : 1,395,733 = 1,395,733 : x
  2. Step 2: Convert to fraction form
    651,142/1,395,733 = 1,395,733/x
  3. Step 3: Cross multiply
    651,142x = 1,395,733 × 1,395,733
  4. Step 4: Simplify right side
    651,142x = 1,948,070,607,289
  5. Step 5: Solve for x
    x = 1,948,070,607,289/651,142
  6. Step 6: Final answer
    x = 2,991,775.38

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.