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Finding the Third Proportional to 2,564,036 and 5,604,350

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Solution

The third proportional to 2,564,036 and 5,604,350 is: 12,249,726.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,564,036 : 5,604,350 = 5,604,350 : x
  2. Step 2: Convert to fraction form
    2,564,036/5,604,350 = 5,604,350/x
  3. Step 3: Cross multiply
    2,564,036x = 5,604,350 × 5,604,350
  4. Step 4: Simplify right side
    2,564,036x = 31,408,738,922,500
  5. Step 5: Solve for x
    x = 31,408,738,922,500/2,564,036
  6. Step 6: Final answer
    x = 12,249,726.18

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