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Finding the Third Proportional to 510,822 and 1,111,428

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Solution

The third proportional to 510,822 and 1,111,428 is: 2,418,204.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,822 : 1,111,428 = 1,111,428 : x
  2. Step 2: Convert to fraction form
    510,822/1,111,428 = 1,111,428/x
  3. Step 3: Cross multiply
    510,822x = 1,111,428 × 1,111,428
  4. Step 4: Simplify right side
    510,822x = 1,235,272,199,184
  5. Step 5: Solve for x
    x = 1,235,272,199,184/510,822
  6. Step 6: Final answer
    x = 2,418,204.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.