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Finding the Third Proportional to 662,509,719 and 1,393,555,320

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Solution

The third proportional to 662,509,719 and 1,393,555,320 is: 2,931,272,363.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    662,509,719 : 1,393,555,320 = 1,393,555,320 : x
  2. Step 2: Convert to fraction form
    662,509,719/1,393,555,320 = 1,393,555,320/x
  3. Step 3: Cross multiply
    662,509,719x = 1,393,555,320 × 1,393,555,320
  4. Step 4: Simplify right side
    662,509,719x = 1,941,996,429,900,302,336
  5. Step 5: Solve for x
    x = 1,941,996,429,900,302,336/662,509,719
  6. Step 6: Final answer
    x = 2,931,272,363.57

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.