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Finding the Third Proportional to 760,617 and 1,652,589

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Solution

The third proportional to 760,617 and 1,652,589 is: 3,590,572.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    760,617 : 1,652,589 = 1,652,589 : x
  2. Step 2: Convert to fraction form
    760,617/1,652,589 = 1,652,589/x
  3. Step 3: Cross multiply
    760,617x = 1,652,589 × 1,652,589
  4. Step 4: Simplify right side
    760,617x = 2,731,050,402,921
  5. Step 5: Solve for x
    x = 2,731,050,402,921/760,617
  6. Step 6: Final answer
    x = 3,590,572.39

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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.