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Finding the Third Proportional to 534,204,971 and 1,159,778,426

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Solution

The third proportional to 534,204,971 and 1,159,778,426 is: 2,517,921,154.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,204,971 : 1,159,778,426 = 1,159,778,426 : x
  2. Step 2: Convert to fraction form
    534,204,971/1,159,778,426 = 1,159,778,426/x
  3. Step 3: Cross multiply
    534,204,971x = 1,159,778,426 × 1,159,778,426
  4. Step 4: Simplify right side
    534,204,971x = 1,345,085,997,415,037,440
  5. Step 5: Solve for x
    x = 1,345,085,997,415,037,440/534,204,971
  6. Step 6: Final answer
    x = 2,517,921,154.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.