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Finding the Third Proportional to 1,703,076 and 2,561,724

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Solution

The third proportional to 1,703,076 and 2,561,724 is: 3,853,280.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,703,076 : 2,561,724 = 2,561,724 : x
  2. Step 2: Convert to fraction form
    1,703,076/2,561,724 = 2,561,724/x
  3. Step 3: Cross multiply
    1,703,076x = 2,561,724 × 2,561,724
  4. Step 4: Simplify right side
    1,703,076x = 6,562,429,852,176
  5. Step 5: Solve for x
    x = 6,562,429,852,176/1,703,076
  6. Step 6: Final answer
    x = 3,853,280.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.