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Finding the Third Proportional to 963,871 and 1,497,284

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Solution

The third proportional to 963,871 and 1,497,284 is: 2,325,891.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    963,871 : 1,497,284 = 1,497,284 : x
  2. Step 2: Convert to fraction form
    963,871/1,497,284 = 1,497,284/x
  3. Step 3: Cross multiply
    963,871x = 1,497,284 × 1,497,284
  4. Step 4: Simplify right side
    963,871x = 2,241,859,376,656
  5. Step 5: Solve for x
    x = 2,241,859,376,656/963,871
  6. Step 6: Final answer
    x = 2,325,891.51

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.