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Finding the Third Proportional to 748,899.42 and 1,637,630.16

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Solution

The third proportional to 748,899.42 and 1,637,630.16 is: 3,581,031.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    748,899.42 : 1,637,630.16 = 1,637,630.16 : x
  2. Step 2: Convert to fraction form
    748,899.42/1,637,630.16 = 1,637,630.16/x
  3. Step 3: Cross multiply
    748,899.42x = 1,637,630.16 × 1,637,630.16
  4. Step 4: Simplify right side
    748,899.42x = 2,681,832,528,659.40
  5. Step 5: Solve for x
    x = 2,681,832,528,659.40/748,899.42
  6. Step 6: Final answer
    x = 3,581,031.65

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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.