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Finding the Third Proportional to 727,047 and 1,553,058

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Solution

The third proportional to 727,047 and 1,553,058 is: 3,317,514.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    727,047 : 1,553,058 = 1,553,058 : x
  2. Step 2: Convert to fraction form
    727,047/1,553,058 = 1,553,058/x
  3. Step 3: Cross multiply
    727,047x = 1,553,058 × 1,553,058
  4. Step 4: Simplify right side
    727,047x = 2,411,989,151,364
  5. Step 5: Solve for x
    x = 2,411,989,151,364/727,047
  6. Step 6: Final answer
    x = 3,317,514.76

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Why These Related Problems?

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