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Finding the Third Proportional to 1,024,418 and 2,235,460

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Solution

The third proportional to 1,024,418 and 2,235,460 is: 4,878,166.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024,418 : 2,235,460 = 2,235,460 : x
  2. Step 2: Convert to fraction form
    1,024,418/2,235,460 = 2,235,460/x
  3. Step 3: Cross multiply
    1,024,418x = 2,235,460 × 2,235,460
  4. Step 4: Simplify right side
    1,024,418x = 4,997,281,411,600
  5. Step 5: Solve for x
    x = 4,997,281,411,600/1,024,418
  6. Step 6: Final answer
    x = 4,878,166.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.