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Finding the Third Proportional to 4,211,748.46 and 6,018,686.02

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Solution

The third proportional to 4,211,748.46 and 6,018,686.02 is: 8,600,841.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,211,748.46 : 6,018,686.02 = 6,018,686.02 : x
  2. Step 2: Convert to fraction form
    4,211,748.46/6,018,686.02 = 6,018,686.02/x
  3. Step 3: Cross multiply
    4,211,748.46x = 6,018,686.02 × 6,018,686.02
  4. Step 4: Simplify right side
    4,211,748.46x = 36,224,581,354,679.94
  5. Step 5: Solve for x
    x = 36,224,581,354,679.94/4,211,748.46
  6. Step 6: Final answer
    x = 8,600,841.60

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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.