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Finding the Third Proportional to 776,258 and 1,234,371

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Solution

The third proportional to 776,258 and 1,234,371 is: 1,962,841.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    776,258 : 1,234,371 = 1,234,371 : x
  2. Step 2: Convert to fraction form
    776,258/1,234,371 = 1,234,371/x
  3. Step 3: Cross multiply
    776,258x = 1,234,371 × 1,234,371
  4. Step 4: Simplify right side
    776,258x = 1,523,671,765,641
  5. Step 5: Solve for x
    x = 1,523,671,765,641/776,258
  6. Step 6: Final answer
    x = 1,962,841.95

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.