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Finding the Third Proportional to 812,712 and 1,918,650

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Solution

The third proportional to 812,712 and 1,918,650 is: 4,529,547.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    812,712 : 1,918,650 = 1,918,650 : x
  2. Step 2: Convert to fraction form
    812,712/1,918,650 = 1,918,650/x
  3. Step 3: Cross multiply
    812,712x = 1,918,650 × 1,918,650
  4. Step 4: Simplify right side
    812,712x = 3,681,217,822,500
  5. Step 5: Solve for x
    x = 3,681,217,822,500/812,712
  6. Step 6: Final answer
    x = 4,529,547.76

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.