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Finding the Third Proportional to 973,124 and 1,549,623

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Solution

The third proportional to 973,124 and 1,549,623 is: 2,467,652.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    973,124 : 1,549,623 = 1,549,623 : x
  2. Step 2: Convert to fraction form
    973,124/1,549,623 = 1,549,623/x
  3. Step 3: Cross multiply
    973,124x = 1,549,623 × 1,549,623
  4. Step 4: Simplify right side
    973,124x = 2,401,331,442,129
  5. Step 5: Solve for x
    x = 2,401,331,442,129/973,124
  6. Step 6: Final answer
    x = 2,467,652.06

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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.