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Finding the Third Proportional to 1,801,045.76 and 2,880,612.18

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Solution

The third proportional to 1,801,045.76 and 2,880,612.18 is: 4,607,282.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,801,045.76 : 2,880,612.18 = 2,880,612.18 : x
  2. Step 2: Convert to fraction form
    1,801,045.76/2,880,612.18 = 2,880,612.18/x
  3. Step 3: Cross multiply
    1,801,045.76x = 2,880,612.18 × 2,880,612.18
  4. Step 4: Simplify right side
    1,801,045.76x = 8,297,926,507,258.90
  5. Step 5: Solve for x
    x = 8,297,926,507,258.90/1,801,045.76
  6. Step 6: Final answer
    x = 4,607,282.45

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.