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Finding the Third Proportional to 635,820,207 and 858,779,424

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Solution

The third proportional to 635,820,207 and 858,779,424 is: 1,159,922,397.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,820,207 : 858,779,424 = 858,779,424 : x
  2. Step 2: Convert to fraction form
    635,820,207/858,779,424 = 858,779,424/x
  3. Step 3: Cross multiply
    635,820,207x = 858,779,424 × 858,779,424
  4. Step 4: Simplify right side
    635,820,207x = 737,502,099,085,771,776
  5. Step 5: Solve for x
    x = 737,502,099,085,771,776/635,820,207
  6. Step 6: Final answer
    x = 1,159,922,397.82

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.