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Finding the Third Proportional to 2,123,674.50 and 4,585,443

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Solution

The third proportional to 2,123,674.50 and 4,585,443 is: 9,900,899.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,123,674.50 : 4,585,443 = 4,585,443 : x
  2. Step 2: Convert to fraction form
    2,123,674.50/4,585,443 = 4,585,443/x
  3. Step 3: Cross multiply
    2,123,674.50x = 4,585,443 × 4,585,443
  4. Step 4: Simplify right side
    2,123,674.50x = 21,026,287,506,249
  5. Step 5: Solve for x
    x = 21,026,287,506,249/2,123,674.50
  6. Step 6: Final answer
    x = 9,900,899.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.