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Finding the Third Proportional to 656,262 and 1,403,520

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Solution

The third proportional to 656,262 and 1,403,520 is: 3,001,649.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,262 : 1,403,520 = 1,403,520 : x
  2. Step 2: Convert to fraction form
    656,262/1,403,520 = 1,403,520/x
  3. Step 3: Cross multiply
    656,262x = 1,403,520 × 1,403,520
  4. Step 4: Simplify right side
    656,262x = 1,969,868,390,400
  5. Step 5: Solve for x
    x = 1,969,868,390,400/656,262
  6. Step 6: Final answer
    x = 3,001,649.33

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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.