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Finding the Third Proportional to 584,534 and 1,256,412

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Solution

The third proportional to 584,534 and 1,256,412 is: 2,700,563.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,534 : 1,256,412 = 1,256,412 : x
  2. Step 2: Convert to fraction form
    584,534/1,256,412 = 1,256,412/x
  3. Step 3: Cross multiply
    584,534x = 1,256,412 × 1,256,412
  4. Step 4: Simplify right side
    584,534x = 1,578,571,113,744
  5. Step 5: Solve for x
    x = 1,578,571,113,744/584,534
  6. Step 6: Final answer
    x = 2,700,563.38

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.