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Finding the Third Proportional to 753,564,064 and 1,017,811,815

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Solution

The third proportional to 753,564,064 and 1,017,811,815 is: 1,374,721,726.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    753,564,064 : 1,017,811,815 = 1,017,811,815 : x
  2. Step 2: Convert to fraction form
    753,564,064/1,017,811,815 = 1,017,811,815/x
  3. Step 3: Cross multiply
    753,564,064x = 1,017,811,815 × 1,017,811,815
  4. Step 4: Simplify right side
    753,564,064x = 1,035,940,890,753,594,240
  5. Step 5: Solve for x
    x = 1,035,940,890,753,594,240/753,564,064
  6. Step 6: Final answer
    x = 1,374,721,726.05

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.