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Finding the Third Proportional to 973,131 and 1,549,634

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Solution

The third proportional to 973,131 and 1,549,634 is: 2,467,669.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    973,131 : 1,549,634 = 1,549,634 : x
  2. Step 2: Convert to fraction form
    973,131/1,549,634 = 1,549,634/x
  3. Step 3: Cross multiply
    973,131x = 1,549,634 × 1,549,634
  4. Step 4: Simplify right side
    973,131x = 2,401,365,533,956
  5. Step 5: Solve for x
    x = 2,401,365,533,956/973,131
  6. Step 6: Final answer
    x = 2,467,669.34

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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.