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Finding the Third Proportional to 459,396,008 and 706,124,604

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Solution

The third proportional to 459,396,008 and 706,124,604 is: 1,085,364,147.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,396,008 : 706,124,604 = 706,124,604 : x
  2. Step 2: Convert to fraction form
    459,396,008/706,124,604 = 706,124,604/x
  3. Step 3: Cross multiply
    459,396,008x = 706,124,604 × 706,124,604
  4. Step 4: Simplify right side
    459,396,008x = 498,611,956,374,156,800
  5. Step 5: Solve for x
    x = 498,611,956,374,156,800/459,396,008
  6. Step 6: Final answer
    x = 1,085,364,147.03

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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.