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Finding the Third Proportional to 4,291,714.13 and 6,014,827.13

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Solution

The third proportional to 4,291,714.13 and 6,014,827.13 is: 8,429,765.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,291,714.13 : 6,014,827.13 = 6,014,827.13 : x
  2. Step 2: Convert to fraction form
    4,291,714.13/6,014,827.13 = 6,014,827.13/x
  3. Step 3: Cross multiply
    4,291,714.13x = 6,014,827.13 × 6,014,827.13
  4. Step 4: Simplify right side
    4,291,714.13x = 36,178,145,343,635.77
  5. Step 5: Solve for x
    x = 36,178,145,343,635.77/4,291,714.13
  6. Step 6: Final answer
    x = 8,429,765.89

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.