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Finding the Third Proportional to 677,275.50 and 1,447,863

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Solution

The third proportional to 677,275.50 and 1,447,863 is: 3,095,206.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,275.50 : 1,447,863 = 1,447,863 : x
  2. Step 2: Convert to fraction form
    677,275.50/1,447,863 = 1,447,863/x
  3. Step 3: Cross multiply
    677,275.50x = 1,447,863 × 1,447,863
  4. Step 4: Simplify right side
    677,275.50x = 2,096,307,266,769
  5. Step 5: Solve for x
    x = 2,096,307,266,769/677,275.50
  6. Step 6: Final answer
    x = 3,095,206.11

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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.