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Finding the Third Proportional to 891,725,240 and 1,377,348,564

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Solution

The third proportional to 891,725,240 and 1,377,348,564 is: 2,127,436,772.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    891,725,240 : 1,377,348,564 = 1,377,348,564 : x
  2. Step 2: Convert to fraction form
    891,725,240/1,377,348,564 = 1,377,348,564/x
  3. Step 3: Cross multiply
    891,725,240x = 1,377,348,564 × 1,377,348,564
  4. Step 4: Simplify right side
    891,725,240x = 1,897,089,066,752,862,208
  5. Step 5: Solve for x
    x = 1,897,089,066,752,862,208/891,725,240
  6. Step 6: Final answer
    x = 2,127,436,772.74

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.