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Finding the Third Proportional to 865,490 and 1,883,373

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Solution

The third proportional to 865,490 and 1,883,373 is: 4,098,364.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    865,490 : 1,883,373 = 1,883,373 : x
  2. Step 2: Convert to fraction form
    865,490/1,883,373 = 1,883,373/x
  3. Step 3: Cross multiply
    865,490x = 1,883,373 × 1,883,373
  4. Step 4: Simplify right side
    865,490x = 3,547,093,857,129
  5. Step 5: Solve for x
    x = 3,547,093,857,129/865,490
  6. Step 6: Final answer
    x = 4,098,364.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.