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Finding the Third Proportional to 712,911.80 and 1,585,215.98

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Solution

The third proportional to 712,911.80 and 1,585,215.98 is: 3,524,853.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,911.80 : 1,585,215.98 = 1,585,215.98 : x
  2. Step 2: Convert to fraction form
    712,911.80/1,585,215.98 = 1,585,215.98/x
  3. Step 3: Cross multiply
    712,911.80x = 1,585,215.98 × 1,585,215.98
  4. Step 4: Simplify right side
    712,911.80x = 2,512,909,717,118
  5. Step 5: Solve for x
    x = 2,512,909,717,118/712,911.80
  6. Step 6: Final answer
    x = 3,524,853.60

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.