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Finding the Third Proportional to 459,442,654 and 694,634,305

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Solution

The third proportional to 459,442,654 and 694,634,305 is: 1,050,222,075.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,442,654 : 694,634,305 = 694,634,305 : x
  2. Step 2: Convert to fraction form
    459,442,654/694,634,305 = 694,634,305/x
  3. Step 3: Cross multiply
    459,442,654x = 694,634,305 × 694,634,305
  4. Step 4: Simplify right side
    459,442,654x = 482,516,817,682,833,024
  5. Step 5: Solve for x
    x = 482,516,817,682,833,024/459,442,654
  6. Step 6: Final answer
    x = 1,050,222,075.56

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.