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Finding the Third Proportional to 563,880 and 1,215,784

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Solution

The third proportional to 563,880 and 1,215,784 is: 2,621,356.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,880 : 1,215,784 = 1,215,784 : x
  2. Step 2: Convert to fraction form
    563,880/1,215,784 = 1,215,784/x
  3. Step 3: Cross multiply
    563,880x = 1,215,784 × 1,215,784
  4. Step 4: Simplify right side
    563,880x = 1,478,130,734,656
  5. Step 5: Solve for x
    x = 1,478,130,734,656/563,880
  6. Step 6: Final answer
    x = 2,621,356.91

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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.