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Finding the Third Proportional to 698,486,708 and 1,164,074,358

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Solution

The third proportional to 698,486,708 and 1,164,074,358 is: 1,940,007,011.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,486,708 : 1,164,074,358 = 1,164,074,358 : x
  2. Step 2: Convert to fraction form
    698,486,708/1,164,074,358 = 1,164,074,358/x
  3. Step 3: Cross multiply
    698,486,708x = 1,164,074,358 × 1,164,074,358
  4. Step 4: Simplify right side
    698,486,708x = 1,355,069,110,953,112,064
  5. Step 5: Solve for x
    x = 1,355,069,110,953,112,064/698,486,708
  6. Step 6: Final answer
    x = 1,940,007,011.49

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.