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Finding the Third Proportional to 522,064 and 1,127,072

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Solution

The third proportional to 522,064 and 1,127,072 is: 2,433,209.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,064 : 1,127,072 = 1,127,072 : x
  2. Step 2: Convert to fraction form
    522,064/1,127,072 = 1,127,072/x
  3. Step 3: Cross multiply
    522,064x = 1,127,072 × 1,127,072
  4. Step 4: Simplify right side
    522,064x = 1,270,291,293,184
  5. Step 5: Solve for x
    x = 1,270,291,293,184/522,064
  6. Step 6: Final answer
    x = 2,433,209.90

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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.