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Finding the Third Proportional to 1,514,617.31 and 3,242,041.88

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Solution

The third proportional to 1,514,617.31 and 3,242,041.88 is: 6,939,598.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,514,617.31 : 3,242,041.88 = 3,242,041.88 : x
  2. Step 2: Convert to fraction form
    1,514,617.31/3,242,041.88 = 3,242,041.88/x
  3. Step 3: Cross multiply
    1,514,617.31x = 3,242,041.88 × 3,242,041.88
  4. Step 4: Simplify right side
    1,514,617.31x = 10,510,835,519,253.52
  5. Step 5: Solve for x
    x = 10,510,835,519,253.52/1,514,617.31
  6. Step 6: Final answer
    x = 6,939,598.16

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.