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Finding the Third Proportional to 1,707,280 and 3,657,984

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Solution

The third proportional to 1,707,280 and 3,657,984 is: 7,837,523.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,707,280 : 3,657,984 = 3,657,984 : x
  2. Step 2: Convert to fraction form
    1,707,280/3,657,984 = 3,657,984/x
  3. Step 3: Cross multiply
    1,707,280x = 3,657,984 × 3,657,984
  4. Step 4: Simplify right side
    1,707,280x = 13,380,846,944,256
  5. Step 5: Solve for x
    x = 13,380,846,944,256/1,707,280
  6. Step 6: Final answer
    x = 7,837,523.40

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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.