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Finding the Third Proportional to 591,254 and 1,340,342

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Solution

The third proportional to 591,254 and 1,340,342 is: 3,038,485.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,254 : 1,340,342 = 1,340,342 : x
  2. Step 2: Convert to fraction form
    591,254/1,340,342 = 1,340,342/x
  3. Step 3: Cross multiply
    591,254x = 1,340,342 × 1,340,342
  4. Step 4: Simplify right side
    591,254x = 1,796,516,676,964
  5. Step 5: Solve for x
    x = 1,796,516,676,964/591,254
  6. Step 6: Final answer
    x = 3,038,485.45

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.