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Finding the Third Proportional to 639,469.69 and 1,367,547.05

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Solution

The third proportional to 639,469.69 and 1,367,547.05 is: 2,924,587.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    639,469.69 : 1,367,547.05 = 1,367,547.05 : x
  2. Step 2: Convert to fraction form
    639,469.69/1,367,547.05 = 1,367,547.05/x
  3. Step 3: Cross multiply
    639,469.69x = 1,367,547.05 × 1,367,547.05
  4. Step 4: Simplify right side
    639,469.69x = 1,870,184,925,416.53
  5. Step 5: Solve for x
    x = 1,870,184,925,416.53/639,469.69
  6. Step 6: Final answer
    x = 2,924,587.30

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.