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Finding the Third Proportional to 584,892 and 1,281,492

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Solution

The third proportional to 584,892 and 1,281,492 is: 2,807,735.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,892 : 1,281,492 = 1,281,492 : x
  2. Step 2: Convert to fraction form
    584,892/1,281,492 = 1,281,492/x
  3. Step 3: Cross multiply
    584,892x = 1,281,492 × 1,281,492
  4. Step 4: Simplify right side
    584,892x = 1,642,221,746,064
  5. Step 5: Solve for x
    x = 1,642,221,746,064/584,892
  6. Step 6: Final answer
    x = 2,807,735.01

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.