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Finding the Third Proportional to 813,690 and 1,772,032

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Solution

The third proportional to 813,690 and 1,772,032 is: 3,859,083.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    813,690 : 1,772,032 = 1,772,032 : x
  2. Step 2: Convert to fraction form
    813,690/1,772,032 = 1,772,032/x
  3. Step 3: Cross multiply
    813,690x = 1,772,032 × 1,772,032
  4. Step 4: Simplify right side
    813,690x = 3,140,097,409,024
  5. Step 5: Solve for x
    x = 3,140,097,409,024/813,690
  6. Step 6: Final answer
    x = 3,859,083.20

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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.