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Finding the Third Proportional to 459,393,140 and 706,120,520

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Solution

The third proportional to 459,393,140 and 706,120,520 is: 1,085,358,368.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,393,140 : 706,120,520 = 706,120,520 : x
  2. Step 2: Convert to fraction form
    459,393,140/706,120,520 = 706,120,520/x
  3. Step 3: Cross multiply
    459,393,140x = 706,120,520 × 706,120,520
  4. Step 4: Simplify right side
    459,393,140x = 498,606,188,765,070,400
  5. Step 5: Solve for x
    x = 498,606,188,765,070,400/459,393,140
  6. Step 6: Final answer
    x = 1,085,358,368.14

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.