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Finding the Third Proportional to 812,533 and 1,730,043

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Solution

The third proportional to 812,533 and 1,730,043 is: 3,683,602.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    812,533 : 1,730,043 = 1,730,043 : x
  2. Step 2: Convert to fraction form
    812,533/1,730,043 = 1,730,043/x
  3. Step 3: Cross multiply
    812,533x = 1,730,043 × 1,730,043
  4. Step 4: Simplify right side
    812,533x = 2,993,048,781,849
  5. Step 5: Solve for x
    x = 2,993,048,781,849/812,533
  6. Step 6: Final answer
    x = 3,683,602.74

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.