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Finding the Third Proportional to 1,583,666 and 3,457,724

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Solution

The third proportional to 1,583,666 and 3,457,724 is: 7,549,480.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,583,666 : 3,457,724 = 3,457,724 : x
  2. Step 2: Convert to fraction form
    1,583,666/3,457,724 = 3,457,724/x
  3. Step 3: Cross multiply
    1,583,666x = 3,457,724 × 3,457,724
  4. Step 4: Simplify right side
    1,583,666x = 11,955,855,260,176
  5. Step 5: Solve for x
    x = 11,955,855,260,176/1,583,666
  6. Step 6: Final answer
    x = 7,549,480.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.