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Finding the Third Proportional to 820,528 and 1,772,280

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Solution

The third proportional to 820,528 and 1,772,280 is: 3,827,994.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,528 : 1,772,280 = 1,772,280 : x
  2. Step 2: Convert to fraction form
    820,528/1,772,280 = 1,772,280/x
  3. Step 3: Cross multiply
    820,528x = 1,772,280 × 1,772,280
  4. Step 4: Simplify right side
    820,528x = 3,140,976,398,400
  5. Step 5: Solve for x
    x = 3,140,976,398,400/820,528
  6. Step 6: Final answer
    x = 3,827,994.17

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.