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Finding the Third Proportional to 563,598 and 1,146,878

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Solution

The third proportional to 563,598 and 1,146,878 is: 2,333,807.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,598 : 1,146,878 = 1,146,878 : x
  2. Step 2: Convert to fraction form
    563,598/1,146,878 = 1,146,878/x
  3. Step 3: Cross multiply
    563,598x = 1,146,878 × 1,146,878
  4. Step 4: Simplify right side
    563,598x = 1,315,329,146,884
  5. Step 5: Solve for x
    x = 1,315,329,146,884/563,598
  6. Step 6: Final answer
    x = 2,333,807.34

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.