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Finding the Third Proportional to 2,069,199 and 4,523,310

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Solution

The third proportional to 2,069,199 and 4,523,310 is: 9,888,045.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,069,199 : 4,523,310 = 4,523,310 : x
  2. Step 2: Convert to fraction form
    2,069,199/4,523,310 = 4,523,310/x
  3. Step 3: Cross multiply
    2,069,199x = 4,523,310 × 4,523,310
  4. Step 4: Simplify right side
    2,069,199x = 20,460,333,356,100
  5. Step 5: Solve for x
    x = 20,460,333,356,100/2,069,199
  6. Step 6: Final answer
    x = 9,888,045.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.