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Finding the Third Proportional to 760,131 and 1,652,572

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Solution

The third proportional to 760,131 and 1,652,572 is: 3,592,794.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    760,131 : 1,652,572 = 1,652,572 : x
  2. Step 2: Convert to fraction form
    760,131/1,652,572 = 1,652,572/x
  3. Step 3: Cross multiply
    760,131x = 1,652,572 × 1,652,572
  4. Step 4: Simplify right side
    760,131x = 2,730,994,215,184
  5. Step 5: Solve for x
    x = 2,730,994,215,184/760,131
  6. Step 6: Final answer
    x = 3,592,794.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.