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Finding the Third Proportional to 946,476 and 2,064,253.50

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Solution

The third proportional to 946,476 and 2,064,253.50 is: 4,502,113.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    946,476 : 2,064,253.50 = 2,064,253.50 : x
  2. Step 2: Convert to fraction form
    946,476/2,064,253.50 = 2,064,253.50/x
  3. Step 3: Cross multiply
    946,476x = 2,064,253.50 × 2,064,253.50
  4. Step 4: Simplify right side
    946,476x = 4,261,142,512,262.25
  5. Step 5: Solve for x
    x = 4,261,142,512,262.25/946,476
  6. Step 6: Final answer
    x = 4,502,113.64

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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.