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Finding the Third Proportional to 710,720 and 1,539,538

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Solution

The third proportional to 710,720 and 1,539,538 is: 3,334,895.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,720 : 1,539,538 = 1,539,538 : x
  2. Step 2: Convert to fraction form
    710,720/1,539,538 = 1,539,538/x
  3. Step 3: Cross multiply
    710,720x = 1,539,538 × 1,539,538
  4. Step 4: Simplify right side
    710,720x = 2,370,177,253,444
  5. Step 5: Solve for x
    x = 2,370,177,253,444/710,720
  6. Step 6: Final answer
    x = 3,334,895.96

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.