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Finding the Third Proportional to 2,365,428 and 3,706,388

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Solution

The third proportional to 2,365,428 and 3,706,388 is: 5,807,537.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,365,428 : 3,706,388 = 3,706,388 : x
  2. Step 2: Convert to fraction form
    2,365,428/3,706,388 = 3,706,388/x
  3. Step 3: Cross multiply
    2,365,428x = 3,706,388 × 3,706,388
  4. Step 4: Simplify right side
    2,365,428x = 13,737,312,006,544
  5. Step 5: Solve for x
    x = 13,737,312,006,544/2,365,428
  6. Step 6: Final answer
    x = 5,807,537.58

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Why These Related Problems?

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