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Finding the Third Proportional to 710,712.75 and 1,539,523.50

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Solution

The third proportional to 710,712.75 and 1,539,523.50 is: 3,334,867.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,712.75 : 1,539,523.50 = 1,539,523.50 : x
  2. Step 2: Convert to fraction form
    710,712.75/1,539,523.50 = 1,539,523.50/x
  3. Step 3: Cross multiply
    710,712.75x = 1,539,523.50 × 1,539,523.50
  4. Step 4: Simplify right side
    710,712.75x = 2,370,132,607,052.25
  5. Step 5: Solve for x
    x = 2,370,132,607,052.25/710,712.75
  6. Step 6: Final answer
    x = 3,334,867.16

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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.