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Finding the Third Proportional to 635,820,203 and 858,779,418

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Solution

The third proportional to 635,820,203 and 858,779,418 is: 1,159,922,388.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,820,203 : 858,779,418 = 858,779,418 : x
  2. Step 2: Convert to fraction form
    635,820,203/858,779,418 = 858,779,418/x
  3. Step 3: Cross multiply
    635,820,203x = 858,779,418 × 858,779,418
  4. Step 4: Simplify right side
    635,820,203x = 737,502,088,780,418,688
  5. Step 5: Solve for x
    x = 737,502,088,780,418,688/635,820,203
  6. Step 6: Final answer
    x = 1,159,922,388.91

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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.