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Finding the Third Proportional to 260,038,587 and 541,600,494

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Solution

The third proportional to 260,038,587 and 541,600,494 is: 1,128,029,107.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,038,587 : 541,600,494 = 541,600,494 : x
  2. Step 2: Convert to fraction form
    260,038,587/541,600,494 = 541,600,494/x
  3. Step 3: Cross multiply
    260,038,587x = 541,600,494 × 541,600,494
  4. Step 4: Simplify right side
    260,038,587x = 293,331,095,101,044,032
  5. Step 5: Solve for x
    x = 293,331,095,101,044,032/260,038,587
  6. Step 6: Final answer
    x = 1,128,029,107.08

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.