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Finding the Third Proportional to 777,094.07 and 1,107,514.74

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Solution

The third proportional to 777,094.07 and 1,107,514.74 is: 1,578,430.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,094.07 : 1,107,514.74 = 1,107,514.74 : x
  2. Step 2: Convert to fraction form
    777,094.07/1,107,514.74 = 1,107,514.74/x
  3. Step 3: Cross multiply
    777,094.07x = 1,107,514.74 × 1,107,514.74
  4. Step 4: Simplify right side
    777,094.07x = 1,226,588,899,836.47
  5. Step 5: Solve for x
    x = 1,226,588,899,836.47/777,094.07
  6. Step 6: Final answer
    x = 1,578,430.40

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.