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Finding the Third Proportional to 595,008 and 1,307,574

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Solution

The third proportional to 595,008 and 1,307,574 is: 2,873,490.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,008 : 1,307,574 = 1,307,574 : x
  2. Step 2: Convert to fraction form
    595,008/1,307,574 = 1,307,574/x
  3. Step 3: Cross multiply
    595,008x = 1,307,574 × 1,307,574
  4. Step 4: Simplify right side
    595,008x = 1,709,749,765,476
  5. Step 5: Solve for x
    x = 1,709,749,765,476/595,008
  6. Step 6: Final answer
    x = 2,873,490.38

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.