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Finding the Third Proportional to 875,712 and 1,888,224

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Solution

The third proportional to 875,712 and 1,888,224 is: 4,071,418.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    875,712 : 1,888,224 = 1,888,224 : x
  2. Step 2: Convert to fraction form
    875,712/1,888,224 = 1,888,224/x
  3. Step 3: Cross multiply
    875,712x = 1,888,224 × 1,888,224
  4. Step 4: Simplify right side
    875,712x = 3,565,389,874,176
  5. Step 5: Solve for x
    x = 3,565,389,874,176/875,712
  6. Step 6: Final answer
    x = 4,071,418.31

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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.