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Finding the Third Proportional to 2,569,239 and 5,596,047

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Solution

The third proportional to 2,569,239 and 5,596,047 is: 12,188,722.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,569,239 : 5,596,047 = 5,596,047 : x
  2. Step 2: Convert to fraction form
    2,569,239/5,596,047 = 5,596,047/x
  3. Step 3: Cross multiply
    2,569,239x = 5,596,047 × 5,596,047
  4. Step 4: Simplify right side
    2,569,239x = 31,315,742,026,209
  5. Step 5: Solve for x
    x = 31,315,742,026,209/2,569,239
  6. Step 6: Final answer
    x = 12,188,722.82

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.