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Finding the Third Proportional to 1,971,822 and 3,174,585

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Solution

The third proportional to 1,971,822 and 3,174,585 is: 5,111,003.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,971,822 : 3,174,585 = 3,174,585 : x
  2. Step 2: Convert to fraction form
    1,971,822/3,174,585 = 3,174,585/x
  3. Step 3: Cross multiply
    1,971,822x = 3,174,585 × 3,174,585
  4. Step 4: Simplify right side
    1,971,822x = 10,077,989,922,225
  5. Step 5: Solve for x
    x = 10,077,989,922,225/1,971,822
  6. Step 6: Final answer
    x = 5,111,003.89

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.