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Finding the Third Proportional to 2,023,004.90 and 4,334,565.66

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Solution

The third proportional to 2,023,004.90 and 4,334,565.66 is: 9,287,401.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,023,004.90 : 4,334,565.66 = 4,334,565.66 : x
  2. Step 2: Convert to fraction form
    2,023,004.90/4,334,565.66 = 4,334,565.66/x
  3. Step 3: Cross multiply
    2,023,004.90x = 4,334,565.66 × 4,334,565.66
  4. Step 4: Simplify right side
    2,023,004.90x = 18,788,459,428,341.99
  5. Step 5: Solve for x
    x = 18,788,459,428,341.99/2,023,004.90
  6. Step 6: Final answer
    x = 9,287,401.84

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.