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Finding the Third Proportional to 506,558 and 1,106,428

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Solution

The third proportional to 506,558 and 1,106,428 is: 2,416,668.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,558 : 1,106,428 = 1,106,428 : x
  2. Step 2: Convert to fraction form
    506,558/1,106,428 = 1,106,428/x
  3. Step 3: Cross multiply
    506,558x = 1,106,428 × 1,106,428
  4. Step 4: Simplify right side
    506,558x = 1,224,182,919,184
  5. Step 5: Solve for x
    x = 1,224,182,919,184/506,558
  6. Step 6: Final answer
    x = 2,416,668.81

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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.