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Finding the Third Proportional to 1,058,553 and 1,684,363

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Solution

The third proportional to 1,058,553 and 1,684,363 is: 2,680,148.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058,553 : 1,684,363 = 1,684,363 : x
  2. Step 2: Convert to fraction form
    1,058,553/1,684,363 = 1,684,363/x
  3. Step 3: Cross multiply
    1,058,553x = 1,684,363 × 1,684,363
  4. Step 4: Simplify right side
    1,058,553x = 2,837,078,715,769
  5. Step 5: Solve for x
    x = 2,837,078,715,769/1,058,553
  6. Step 6: Final answer
    x = 2,680,148.01

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.