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Finding the Third Proportional to 540,798,978 and 1,167,806,724

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Solution

The third proportional to 540,798,978 and 1,167,806,724 is: 2,521,773,524.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,798,978 : 1,167,806,724 = 1,167,806,724 : x
  2. Step 2: Convert to fraction form
    540,798,978/1,167,806,724 = 1,167,806,724/x
  3. Step 3: Cross multiply
    540,798,978x = 1,167,806,724 × 1,167,806,724
  4. Step 4: Simplify right side
    540,798,978x = 1,363,772,544,619,612,160
  5. Step 5: Solve for x
    x = 1,363,772,544,619,612,160/540,798,978
  6. Step 6: Final answer
    x = 2,521,773,524.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.