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Finding the Third Proportional to 833,432 and 1,261,773

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Solution

The third proportional to 833,432 and 1,261,773 is: 1,910,259.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    833,432 : 1,261,773 = 1,261,773 : x
  2. Step 2: Convert to fraction form
    833,432/1,261,773 = 1,261,773/x
  3. Step 3: Cross multiply
    833,432x = 1,261,773 × 1,261,773
  4. Step 4: Simplify right side
    833,432x = 1,592,071,103,529
  5. Step 5: Solve for x
    x = 1,592,071,103,529/833,432
  6. Step 6: Final answer
    x = 1,910,259.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.