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Finding the Third Proportional to 1,834,080.75 and 4,315,514.63

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Solution

The third proportional to 1,834,080.75 and 4,315,514.63 is: 10,154,223.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,834,080.75 : 4,315,514.63 = 4,315,514.63 : x
  2. Step 2: Convert to fraction form
    1,834,080.75/4,315,514.63 = 4,315,514.63/x
  3. Step 3: Cross multiply
    1,834,080.75x = 4,315,514.63 × 4,315,514.63
  4. Step 4: Simplify right side
    1,834,080.75x = 18,623,666,478,588.89
  5. Step 5: Solve for x
    x = 18,623,666,478,588.89/1,834,080.75
  6. Step 6: Final answer
    x = 10,154,223.84

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.