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Finding the Third Proportional to 458,511 and 1,010,334

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Solution

The third proportional to 458,511 and 1,010,334 is: 2,226,282.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,511 : 1,010,334 = 1,010,334 : x
  2. Step 2: Convert to fraction form
    458,511/1,010,334 = 1,010,334/x
  3. Step 3: Cross multiply
    458,511x = 1,010,334 × 1,010,334
  4. Step 4: Simplify right side
    458,511x = 1,020,774,791,556
  5. Step 5: Solve for x
    x = 1,020,774,791,556/458,511
  6. Step 6: Final answer
    x = 2,226,282.01

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.