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Finding the Third Proportional to 585,871,478 and 1,253,284,158

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Solution

The third proportional to 585,871,478 and 1,253,284,158 is: 2,680,999,570.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,871,478 : 1,253,284,158 = 1,253,284,158 : x
  2. Step 2: Convert to fraction form
    585,871,478/1,253,284,158 = 1,253,284,158/x
  3. Step 3: Cross multiply
    585,871,478x = 1,253,284,158 × 1,253,284,158
  4. Step 4: Simplify right side
    585,871,478x = 1,570,721,180,693,768,960
  5. Step 5: Solve for x
    x = 1,570,721,180,693,768,960/585,871,478
  6. Step 6: Final answer
    x = 2,680,999,570.17

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.