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Finding the Third Proportional to 716,548 and 1,564,088

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Solution

The third proportional to 716,548 and 1,564,088 is: 3,414,106.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    716,548 : 1,564,088 = 1,564,088 : x
  2. Step 2: Convert to fraction form
    716,548/1,564,088 = 1,564,088/x
  3. Step 3: Cross multiply
    716,548x = 1,564,088 × 1,564,088
  4. Step 4: Simplify right side
    716,548x = 2,446,371,271,744
  5. Step 5: Solve for x
    x = 2,446,371,271,744/716,548
  6. Step 6: Final answer
    x = 3,414,106.62

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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.