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Finding the Third Proportional to 540,301 and 1,164,396

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Solution

The third proportional to 540,301 and 1,164,396 is: 2,509,375.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,301 : 1,164,396 = 1,164,396 : x
  2. Step 2: Convert to fraction form
    540,301/1,164,396 = 1,164,396/x
  3. Step 3: Cross multiply
    540,301x = 1,164,396 × 1,164,396
  4. Step 4: Simplify right side
    540,301x = 1,355,818,044,816
  5. Step 5: Solve for x
    x = 1,355,818,044,816/540,301
  6. Step 6: Final answer
    x = 2,509,375.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.