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Finding the Third Proportional to 2,409,114 and 3,523,032

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Solution

The third proportional to 2,409,114 and 3,523,032 is: 5,151,999.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,409,114 : 3,523,032 = 3,523,032 : x
  2. Step 2: Convert to fraction form
    2,409,114/3,523,032 = 3,523,032/x
  3. Step 3: Cross multiply
    2,409,114x = 3,523,032 × 3,523,032
  4. Step 4: Simplify right side
    2,409,114x = 12,411,754,473,024
  5. Step 5: Solve for x
    x = 12,411,754,473,024/2,409,114
  6. Step 6: Final answer
    x = 5,151,999.65

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.