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Finding the Third Proportional to 710,748 and 1,677,829.50

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Solution

The third proportional to 710,748 and 1,677,829.50 is: 3,960,773.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,748 : 1,677,829.50 = 1,677,829.50 : x
  2. Step 2: Convert to fraction form
    710,748/1,677,829.50 = 1,677,829.50/x
  3. Step 3: Cross multiply
    710,748x = 1,677,829.50 × 1,677,829.50
  4. Step 4: Simplify right side
    710,748x = 2,815,111,831,070.25
  5. Step 5: Solve for x
    x = 2,815,111,831,070.25/710,748
  6. Step 6: Final answer
    x = 3,960,773.48

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.