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Finding the Third Proportional to 459,395,064 and 706,123,143

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Solution

The third proportional to 459,395,064 and 706,123,143 is: 1,085,361,886.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,395,064 : 706,123,143 = 706,123,143 : x
  2. Step 2: Convert to fraction form
    459,395,064/706,123,143 = 706,123,143/x
  3. Step 3: Cross multiply
    459,395,064x = 706,123,143 × 706,123,143
  4. Step 4: Simplify right side
    459,395,064x = 498,609,893,080,198,464
  5. Step 5: Solve for x
    x = 498,609,893,080,198,464/459,395,064
  6. Step 6: Final answer
    x = 1,085,361,886.00

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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.