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Finding the Third Proportional to 3,212,460 and 4,974,210

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Solution

The third proportional to 3,212,460 and 4,974,210 is: 7,702,123.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,212,460 : 4,974,210 = 4,974,210 : x
  2. Step 2: Convert to fraction form
    3,212,460/4,974,210 = 4,974,210/x
  3. Step 3: Cross multiply
    3,212,460x = 4,974,210 × 4,974,210
  4. Step 4: Simplify right side
    3,212,460x = 24,742,765,124,100
  5. Step 5: Solve for x
    x = 24,742,765,124,100/3,212,460
  6. Step 6: Final answer
    x = 7,702,123.96

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.