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Finding the Third Proportional to 2,784,216 and 6,079,776

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Solution

The third proportional to 2,784,216 and 6,079,776 is: 13,276,152.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,784,216 : 6,079,776 = 6,079,776 : x
  2. Step 2: Convert to fraction form
    2,784,216/6,079,776 = 6,079,776/x
  3. Step 3: Cross multiply
    2,784,216x = 6,079,776 × 6,079,776
  4. Step 4: Simplify right side
    2,784,216x = 36,963,676,210,176
  5. Step 5: Solve for x
    x = 36,963,676,210,176/2,784,216
  6. Step 6: Final answer
    x = 13,276,152.50

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.