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Finding the Third Proportional to 760,169 and 1,652,650

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Solution

The third proportional to 760,169 and 1,652,650 is: 3,592,953.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    760,169 : 1,652,650 = 1,652,650 : x
  2. Step 2: Convert to fraction form
    760,169/1,652,650 = 1,652,650/x
  3. Step 3: Cross multiply
    760,169x = 1,652,650 × 1,652,650
  4. Step 4: Simplify right side
    760,169x = 2,731,252,022,500
  5. Step 5: Solve for x
    x = 2,731,252,022,500/760,169
  6. Step 6: Final answer
    x = 3,592,953.70

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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.