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Finding the Third Proportional to 704,907 and 1,509,534

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Solution

The third proportional to 704,907 and 1,509,534 is: 3,232,614.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,907 : 1,509,534 = 1,509,534 : x
  2. Step 2: Convert to fraction form
    704,907/1,509,534 = 1,509,534/x
  3. Step 3: Cross multiply
    704,907x = 1,509,534 × 1,509,534
  4. Step 4: Simplify right side
    704,907x = 2,278,692,897,156
  5. Step 5: Solve for x
    x = 2,278,692,897,156/704,907
  6. Step 6: Final answer
    x = 3,232,614.94

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.