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Finding the Third Proportional to 432,614 and 931,783

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Solution

The third proportional to 432,614 and 931,783 is: 2,006,915.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,614 : 931,783 = 931,783 : x
  2. Step 2: Convert to fraction form
    432,614/931,783 = 931,783/x
  3. Step 3: Cross multiply
    432,614x = 931,783 × 931,783
  4. Step 4: Simplify right side
    432,614x = 868,219,559,089
  5. Step 5: Solve for x
    x = 868,219,559,089/432,614
  6. Step 6: Final answer
    x = 2,006,915.08

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.