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Finding the Third Proportional to 760,160 and 1,652,630

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Solution

The third proportional to 760,160 and 1,652,630 is: 3,592,909.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    760,160 : 1,652,630 = 1,652,630 : x
  2. Step 2: Convert to fraction form
    760,160/1,652,630 = 1,652,630/x
  3. Step 3: Cross multiply
    760,160x = 1,652,630 × 1,652,630
  4. Step 4: Simplify right side
    760,160x = 2,731,185,916,900
  5. Step 5: Solve for x
    x = 2,731,185,916,900/760,160
  6. Step 6: Final answer
    x = 3,592,909.28

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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.