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Finding the Third Proportional to 593,526 and 1,315,140

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Solution

The third proportional to 593,526 and 1,315,140 is: 2,914,098.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    593,526 : 1,315,140 = 1,315,140 : x
  2. Step 2: Convert to fraction form
    593,526/1,315,140 = 1,315,140/x
  3. Step 3: Cross multiply
    593,526x = 1,315,140 × 1,315,140
  4. Step 4: Simplify right side
    593,526x = 1,729,593,219,600
  5. Step 5: Solve for x
    x = 1,729,593,219,600/593,526
  6. Step 6: Final answer
    x = 2,914,098.49

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.