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Finding the Third Proportional to 872,507 and 1,845,611

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Solution

The third proportional to 872,507 and 1,845,611 is: 3,904,014.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    872,507 : 1,845,611 = 1,845,611 : x
  2. Step 2: Convert to fraction form
    872,507/1,845,611 = 1,845,611/x
  3. Step 3: Cross multiply
    872,507x = 1,845,611 × 1,845,611
  4. Step 4: Simplify right side
    872,507x = 3,406,279,963,321
  5. Step 5: Solve for x
    x = 3,406,279,963,321/872,507
  6. Step 6: Final answer
    x = 3,904,014.48

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.