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Finding the Third Proportional to 522,476 and 1,144,604

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Solution

The third proportional to 522,476 and 1,144,604 is: 2,507,518.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,476 : 1,144,604 = 1,144,604 : x
  2. Step 2: Convert to fraction form
    522,476/1,144,604 = 1,144,604/x
  3. Step 3: Cross multiply
    522,476x = 1,144,604 × 1,144,604
  4. Step 4: Simplify right side
    522,476x = 1,310,118,316,816
  5. Step 5: Solve for x
    x = 1,310,118,316,816/522,476
  6. Step 6: Final answer
    x = 2,507,518.66

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.