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Finding the Third Proportional to 4,234,967.61 and 5,713,971.93

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Solution

The third proportional to 4,234,967.61 and 5,713,971.93 is: 7,709,498.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,234,967.61 : 5,713,971.93 = 5,713,971.93 : x
  2. Step 2: Convert to fraction form
    4,234,967.61/5,713,971.93 = 5,713,971.93/x
  3. Step 3: Cross multiply
    4,234,967.61x = 5,713,971.93 × 5,713,971.93
  4. Step 4: Simplify right side
    4,234,967.61x = 32,649,475,168,613.43
  5. Step 5: Solve for x
    x = 32,649,475,168,613.43/4,234,967.61
  6. Step 6: Final answer
    x = 7,709,498.19

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.