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Finding the Third Proportional to 858,160 and 1,851,208

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Solution

The third proportional to 858,160 and 1,851,208 is: 3,993,394.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    858,160 : 1,851,208 = 1,851,208 : x
  2. Step 2: Convert to fraction form
    858,160/1,851,208 = 1,851,208/x
  3. Step 3: Cross multiply
    858,160x = 1,851,208 × 1,851,208
  4. Step 4: Simplify right side
    858,160x = 3,426,971,059,264
  5. Step 5: Solve for x
    x = 3,426,971,059,264/858,160
  6. Step 6: Final answer
    x = 3,993,394.07

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.