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Finding the Third Proportional to 2,034,490 and 4,418,564

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Solution

The third proportional to 2,034,490 and 4,418,564 is: 9,596,364.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,034,490 : 4,418,564 = 4,418,564 : x
  2. Step 2: Convert to fraction form
    2,034,490/4,418,564 = 4,418,564/x
  3. Step 3: Cross multiply
    2,034,490x = 4,418,564 × 4,418,564
  4. Step 4: Simplify right side
    2,034,490x = 19,523,707,822,096
  5. Step 5: Solve for x
    x = 19,523,707,822,096/2,034,490
  6. Step 6: Final answer
    x = 9,596,364.60

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.