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Finding the Third Proportional to 710,415.14 and 1,557,057.09

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Solution

The third proportional to 710,415.14 and 1,557,057.09 is: 3,412,690.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,415.14 : 1,557,057.09 = 1,557,057.09 : x
  2. Step 2: Convert to fraction form
    710,415.14/1,557,057.09 = 1,557,057.09/x
  3. Step 3: Cross multiply
    710,415.14x = 1,557,057.09 × 1,557,057.09
  4. Step 4: Simplify right side
    710,415.14x = 2,424,426,793,197.20
  5. Step 5: Solve for x
    x = 2,424,426,793,197.20/710,415.14
  6. Step 6: Final answer
    x = 3,412,690.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.