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Finding the Third Proportional to 710,416.75 and 1,557,059.75

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Solution

The third proportional to 710,416.75 and 1,557,059.75 is: 3,412,694.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,416.75 : 1,557,059.75 = 1,557,059.75 : x
  2. Step 2: Convert to fraction form
    710,416.75/1,557,059.75 = 1,557,059.75/x
  3. Step 3: Cross multiply
    710,416.75x = 1,557,059.75 × 1,557,059.75
  4. Step 4: Simplify right side
    710,416.75x = 2,424,435,065,070.06
  5. Step 5: Solve for x
    x = 2,424,435,065,070.06/710,416.75
  6. Step 6: Final answer
    x = 3,412,694.12

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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.