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Finding the Third Proportional to 736,705 and 1,137,601.50

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Solution

The third proportional to 736,705 and 1,137,601.50 is: 1,756,655.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    736,705 : 1,137,601.50 = 1,137,601.50 : x
  2. Step 2: Convert to fraction form
    736,705/1,137,601.50 = 1,137,601.50/x
  3. Step 3: Cross multiply
    736,705x = 1,137,601.50 × 1,137,601.50
  4. Step 4: Simplify right side
    736,705x = 1,294,137,172,802.25
  5. Step 5: Solve for x
    x = 1,294,137,172,802.25/736,705
  6. Step 6: Final answer
    x = 1,756,655.88

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.