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Finding the Third Proportional to 872,473 and 1,845,544

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Solution

The third proportional to 872,473 and 1,845,544 is: 3,903,883.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    872,473 : 1,845,544 = 1,845,544 : x
  2. Step 2: Convert to fraction form
    872,473/1,845,544 = 1,845,544/x
  3. Step 3: Cross multiply
    872,473x = 1,845,544 × 1,845,544
  4. Step 4: Simplify right side
    872,473x = 3,406,032,655,936
  5. Step 5: Solve for x
    x = 3,406,032,655,936/872,473
  6. Step 6: Final answer
    x = 3,903,883.16

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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.