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Finding the Third Proportional to 973,102 and 1,549,593

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Solution

The third proportional to 973,102 and 1,549,593 is: 2,467,612.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    973,102 : 1,549,593 = 1,549,593 : x
  2. Step 2: Convert to fraction form
    973,102/1,549,593 = 1,549,593/x
  3. Step 3: Cross multiply
    973,102x = 1,549,593 × 1,549,593
  4. Step 4: Simplify right side
    973,102x = 2,401,238,465,649
  5. Step 5: Solve for x
    x = 2,401,238,465,649/973,102
  6. Step 6: Final answer
    x = 2,467,612.30

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.