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Finding the Third Proportional to 770,319.49 and 1,202,113.17

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Solution

The third proportional to 770,319.49 and 1,202,113.17 is: 1,875,943.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    770,319.49 : 1,202,113.17 = 1,202,113.17 : x
  2. Step 2: Convert to fraction form
    770,319.49/1,202,113.17 = 1,202,113.17/x
  3. Step 3: Cross multiply
    770,319.49x = 1,202,113.17 × 1,202,113.17
  4. Step 4: Simplify right side
    770,319.49x = 1,445,076,070,951.71
  5. Step 5: Solve for x
    x = 1,445,076,070,951.71/770,319.49
  6. Step 6: Final answer
    x = 1,875,943.79

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.