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Finding the Third Proportional to 611,492 and 926,486

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Solution

The third proportional to 611,492 and 926,486 is: 1,403,740.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,492 : 926,486 = 926,486 : x
  2. Step 2: Convert to fraction form
    611,492/926,486 = 926,486/x
  3. Step 3: Cross multiply
    611,492x = 926,486 × 926,486
  4. Step 4: Simplify right side
    611,492x = 858,376,308,196
  5. Step 5: Solve for x
    x = 858,376,308,196/611,492
  6. Step 6: Final answer
    x = 1,403,740.86

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.