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Finding the Third Proportional to 432,428 and 943,590

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Solution

The third proportional to 432,428 and 943,590 is: 2,058,983.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,428 : 943,590 = 943,590 : x
  2. Step 2: Convert to fraction form
    432,428/943,590 = 943,590/x
  3. Step 3: Cross multiply
    432,428x = 943,590 × 943,590
  4. Step 4: Simplify right side
    432,428x = 890,362,088,100
  5. Step 5: Solve for x
    x = 890,362,088,100/432,428
  6. Step 6: Final answer
    x = 2,058,983.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.