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Finding the Third Proportional to 760,494 and 1,652,361

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Solution

The third proportional to 760,494 and 1,652,361 is: 3,590,162.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    760,494 : 1,652,361 = 1,652,361 : x
  2. Step 2: Convert to fraction form
    760,494/1,652,361 = 1,652,361/x
  3. Step 3: Cross multiply
    760,494x = 1,652,361 × 1,652,361
  4. Step 4: Simplify right side
    760,494x = 2,730,296,874,321
  5. Step 5: Solve for x
    x = 2,730,296,874,321/760,494
  6. Step 6: Final answer
    x = 3,590,162.28

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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.