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Finding the Third Proportional to 875,314 and 1,884,532

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Solution

The third proportional to 875,314 and 1,884,532 is: 4,057,356.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    875,314 : 1,884,532 = 1,884,532 : x
  2. Step 2: Convert to fraction form
    875,314/1,884,532 = 1,884,532/x
  3. Step 3: Cross multiply
    875,314x = 1,884,532 × 1,884,532
  4. Step 4: Simplify right side
    875,314x = 3,551,460,859,024
  5. Step 5: Solve for x
    x = 3,551,460,859,024/875,314
  6. Step 6: Final answer
    x = 4,057,356.40

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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.