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Finding the Third Proportional to 782,345 and 1,676,971.50

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Solution

The third proportional to 782,345 and 1,676,971.50 is: 3,594,620.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    782,345 : 1,676,971.50 = 1,676,971.50 : x
  2. Step 2: Convert to fraction form
    782,345/1,676,971.50 = 1,676,971.50/x
  3. Step 3: Cross multiply
    782,345x = 1,676,971.50 × 1,676,971.50
  4. Step 4: Simplify right side
    782,345x = 2,812,233,411,812.25
  5. Step 5: Solve for x
    x = 2,812,233,411,812.25/782,345
  6. Step 6: Final answer
    x = 3,594,620.55

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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.