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Finding the Third Proportional to 929,783 and 2,001,352

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Solution

The third proportional to 929,783 and 2,001,352 is: 4,307,897.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    929,783 : 2,001,352 = 2,001,352 : x
  2. Step 2: Convert to fraction form
    929,783/2,001,352 = 2,001,352/x
  3. Step 3: Cross multiply
    929,783x = 2,001,352 × 2,001,352
  4. Step 4: Simplify right side
    929,783x = 4,005,409,827,904
  5. Step 5: Solve for x
    x = 4,005,409,827,904/929,783
  6. Step 6: Final answer
    x = 4,307,897.46

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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.