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Finding the Third Proportional to 710,538 and 1,526,484

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Solution

The third proportional to 710,538 and 1,526,484 is: 3,279,421.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,538 : 1,526,484 = 1,526,484 : x
  2. Step 2: Convert to fraction form
    710,538/1,526,484 = 1,526,484/x
  3. Step 3: Cross multiply
    710,538x = 1,526,484 × 1,526,484
  4. Step 4: Simplify right side
    710,538x = 2,330,153,402,256
  5. Step 5: Solve for x
    x = 2,330,153,402,256/710,538
  6. Step 6: Final answer
    x = 3,279,421.23

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.