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Finding the Third Proportional to 635,820,201 and 858,779,415

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Solution

The third proportional to 635,820,201 and 858,779,415 is: 1,159,922,384.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,820,201 : 858,779,415 = 858,779,415 : x
  2. Step 2: Convert to fraction form
    635,820,201/858,779,415 = 858,779,415/x
  3. Step 3: Cross multiply
    635,820,201x = 858,779,415 × 858,779,415
  4. Step 4: Simplify right side
    635,820,201x = 737,502,083,627,742,208
  5. Step 5: Solve for x
    x = 737,502,083,627,742,208/635,820,201
  6. Step 6: Final answer
    x = 1,159,922,384.45

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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.