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Finding the Third Proportional to 576,798 and 1,242,346

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Solution

The third proportional to 576,798 and 1,242,346 is: 2,675,847.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,798 : 1,242,346 = 1,242,346 : x
  2. Step 2: Convert to fraction form
    576,798/1,242,346 = 1,242,346/x
  3. Step 3: Cross multiply
    576,798x = 1,242,346 × 1,242,346
  4. Step 4: Simplify right side
    576,798x = 1,543,423,583,716
  5. Step 5: Solve for x
    x = 1,543,423,583,716/576,798
  6. Step 6: Final answer
    x = 2,675,847.67

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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.