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Finding the Third Proportional to 760,497 and 1,652,367

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Solution

The third proportional to 760,497 and 1,652,367 is: 3,590,174.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    760,497 : 1,652,367 = 1,652,367 : x
  2. Step 2: Convert to fraction form
    760,497/1,652,367 = 1,652,367/x
  3. Step 3: Cross multiply
    760,497x = 1,652,367 × 1,652,367
  4. Step 4: Simplify right side
    760,497x = 2,730,316,702,689
  5. Step 5: Solve for x
    x = 2,730,316,702,689/760,497
  6. Step 6: Final answer
    x = 3,590,174.19

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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.