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Finding the Third Proportional to 2,564,401 and 4,060,666.50

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Solution

The third proportional to 2,564,401 and 4,060,666.50 is: 6,429,966.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,564,401 : 4,060,666.50 = 4,060,666.50 : x
  2. Step 2: Convert to fraction form
    2,564,401/4,060,666.50 = 4,060,666.50/x
  3. Step 3: Cross multiply
    2,564,401x = 4,060,666.50 × 4,060,666.50
  4. Step 4: Simplify right side
    2,564,401x = 16,489,012,424,222.25
  5. Step 5: Solve for x
    x = 16,489,012,424,222.25/2,564,401
  6. Step 6: Final answer
    x = 6,429,966.46

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.