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Finding the Third Proportional to 692,796 and 1,488,731

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Solution

The third proportional to 692,796 and 1,488,731 is: 3,199,094.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    692,796 : 1,488,731 = 1,488,731 : x
  2. Step 2: Convert to fraction form
    692,796/1,488,731 = 1,488,731/x
  3. Step 3: Cross multiply
    692,796x = 1,488,731 × 1,488,731
  4. Step 4: Simplify right side
    692,796x = 2,216,319,990,361
  5. Step 5: Solve for x
    x = 2,216,319,990,361/692,796
  6. Step 6: Final answer
    x = 3,199,094.67

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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.