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Finding the Third Proportional to 2,365,416 and 3,706,370

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Solution

The third proportional to 2,365,416 and 3,706,370 is: 5,807,510.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,365,416 : 3,706,370 = 3,706,370 : x
  2. Step 2: Convert to fraction form
    2,365,416/3,706,370 = 3,706,370/x
  3. Step 3: Cross multiply
    2,365,416x = 3,706,370 × 3,706,370
  4. Step 4: Simplify right side
    2,365,416x = 13,737,178,576,900
  5. Step 5: Solve for x
    x = 13,737,178,576,900/2,365,416
  6. Step 6: Final answer
    x = 5,807,510.64

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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.