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Finding the Third Proportional to 865,492 and 1,883,368

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Solution

The third proportional to 865,492 and 1,883,368 is: 4,098,333.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    865,492 : 1,883,368 = 1,883,368 : x
  2. Step 2: Convert to fraction form
    865,492/1,883,368 = 1,883,368/x
  3. Step 3: Cross multiply
    865,492x = 1,883,368 × 1,883,368
  4. Step 4: Simplify right side
    865,492x = 3,547,075,023,424
  5. Step 5: Solve for x
    x = 3,547,075,023,424/865,492
  6. Step 6: Final answer
    x = 4,098,333.69

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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.