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Finding the Third Proportional to 2,365,402 and 3,706,349

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Solution

The third proportional to 2,365,402 and 3,706,349 is: 5,807,479.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,365,402 : 3,706,349 = 3,706,349 : x
  2. Step 2: Convert to fraction form
    2,365,402/3,706,349 = 3,706,349/x
  3. Step 3: Cross multiply
    2,365,402x = 3,706,349 × 3,706,349
  4. Step 4: Simplify right side
    2,365,402x = 13,737,022,909,801
  5. Step 5: Solve for x
    x = 13,737,022,909,801/2,365,402
  6. Step 6: Final answer
    x = 5,807,479.20

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.