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Finding the Third Proportional to 584,358 and 1,257,492

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Solution

The third proportional to 584,358 and 1,257,492 is: 2,706,022.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,358 : 1,257,492 = 1,257,492 : x
  2. Step 2: Convert to fraction form
    584,358/1,257,492 = 1,257,492/x
  3. Step 3: Cross multiply
    584,358x = 1,257,492 × 1,257,492
  4. Step 4: Simplify right side
    584,358x = 1,581,286,130,064
  5. Step 5: Solve for x
    x = 1,581,286,130,064/584,358
  6. Step 6: Final answer
    x = 2,706,022.90

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.