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Finding the Third Proportional to 2,564,292 and 4,060,490.50

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Solution

The third proportional to 2,564,292 and 4,060,490.50 is: 6,429,682.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,564,292 : 4,060,490.50 = 4,060,490.50 : x
  2. Step 2: Convert to fraction form
    2,564,292/4,060,490.50 = 4,060,490.50/x
  3. Step 3: Cross multiply
    2,564,292x = 4,060,490.50 × 4,060,490.50
  4. Step 4: Simplify right side
    2,564,292x = 16,487,583,100,590.25
  5. Step 5: Solve for x
    x = 16,487,583,100,590.25/2,564,292
  6. Step 6: Final answer
    x = 6,429,682.38

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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.