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Finding the Third Proportional to 577,706 and 1,246,752.50

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Solution

The third proportional to 577,706 and 1,246,752.50 is: 2,690,627.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,706 : 1,246,752.50 = 1,246,752.50 : x
  2. Step 2: Convert to fraction form
    577,706/1,246,752.50 = 1,246,752.50/x
  3. Step 3: Cross multiply
    577,706x = 1,246,752.50 × 1,246,752.50
  4. Step 4: Simplify right side
    577,706x = 1,554,391,796,256.25
  5. Step 5: Solve for x
    x = 1,554,391,796,256.25/577,706
  6. Step 6: Final answer
    x = 2,690,627.75

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.