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Finding the Third Proportional to 660,017 and 1,029,445.50

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Solution

The third proportional to 660,017 and 1,029,445.50 is: 1,605,652.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    660,017 : 1,029,445.50 = 1,029,445.50 : x
  2. Step 2: Convert to fraction form
    660,017/1,029,445.50 = 1,029,445.50/x
  3. Step 3: Cross multiply
    660,017x = 1,029,445.50 × 1,029,445.50
  4. Step 4: Simplify right side
    660,017x = 1,059,758,037,470.25
  5. Step 5: Solve for x
    x = 1,059,758,037,470.25/660,017
  6. Step 6: Final answer
    x = 1,605,652.64

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.