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Finding the Third Proportional to 520,160 and 1,114,048

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Solution

The third proportional to 520,160 and 1,114,048 is: 2,386,002.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,160 : 1,114,048 = 1,114,048 : x
  2. Step 2: Convert to fraction form
    520,160/1,114,048 = 1,114,048/x
  3. Step 3: Cross multiply
    520,160x = 1,114,048 × 1,114,048
  4. Step 4: Simplify right side
    520,160x = 1,241,102,946,304
  5. Step 5: Solve for x
    x = 1,241,102,946,304/520,160
  6. Step 6: Final answer
    x = 2,386,002.28

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.