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Finding the Third Proportional to 714,597 and 1,137,495.50

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Solution

The third proportional to 714,597 and 1,137,495.50 is: 1,810,665.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,597 : 1,137,495.50 = 1,137,495.50 : x
  2. Step 2: Convert to fraction form
    714,597/1,137,495.50 = 1,137,495.50/x
  3. Step 3: Cross multiply
    714,597x = 1,137,495.50 × 1,137,495.50
  4. Step 4: Simplify right side
    714,597x = 1,293,896,012,520.25
  5. Step 5: Solve for x
    x = 1,293,896,012,520.25/714,597
  6. Step 6: Final answer
    x = 1,810,665.33

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.