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Finding the Third Proportional to 529,290 and 1,031,852

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Solution

The third proportional to 529,290 and 1,031,852 is: 2,011,597.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,290 : 1,031,852 = 1,031,852 : x
  2. Step 2: Convert to fraction form
    529,290/1,031,852 = 1,031,852/x
  3. Step 3: Cross multiply
    529,290x = 1,031,852 × 1,031,852
  4. Step 4: Simplify right side
    529,290x = 1,064,718,549,904
  5. Step 5: Solve for x
    x = 1,064,718,549,904/529,290
  6. Step 6: Final answer
    x = 2,011,597.71

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.