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Finding the Third Proportional to 872,085 and 1,877,730

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Solution

The third proportional to 872,085 and 1,877,730 is: 4,043,034.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    872,085 : 1,877,730 = 1,877,730 : x
  2. Step 2: Convert to fraction form
    872,085/1,877,730 = 1,877,730/x
  3. Step 3: Cross multiply
    872,085x = 1,877,730 × 1,877,730
  4. Step 4: Simplify right side
    872,085x = 3,525,869,952,900
  5. Step 5: Solve for x
    x = 3,525,869,952,900/872,085
  6. Step 6: Final answer
    x = 4,043,034.74

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.