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Finding the Third Proportional to 802,643.06 and 1,175,167.13

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Solution

The third proportional to 802,643.06 and 1,175,167.13 is: 1,720,587.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,643.06 : 1,175,167.13 = 1,175,167.13 : x
  2. Step 2: Convert to fraction form
    802,643.06/1,175,167.13 = 1,175,167.13/x
  3. Step 3: Cross multiply
    802,643.06x = 1,175,167.13 × 1,175,167.13
  4. Step 4: Simplify right side
    802,643.06x = 1,381,017,771,680.77
  5. Step 5: Solve for x
    x = 1,381,017,771,680.77/802,643.06
  6. Step 6: Final answer
    x = 1,720,587.69

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.