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Finding the Third Proportional to 532,572 and 1,159,176

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Solution

The third proportional to 532,572 and 1,159,176 is: 2,523,018.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,572 : 1,159,176 = 1,159,176 : x
  2. Step 2: Convert to fraction form
    532,572/1,159,176 = 1,159,176/x
  3. Step 3: Cross multiply
    532,572x = 1,159,176 × 1,159,176
  4. Step 4: Simplify right side
    532,572x = 1,343,688,998,976
  5. Step 5: Solve for x
    x = 1,343,688,998,976/532,572
  6. Step 6: Final answer
    x = 2,523,018.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.