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Finding the Third Proportional to 2,064,254.91 and 4,316,728.50

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Solution

The third proportional to 2,064,254.91 and 4,316,728.50 is: 9,027,056.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,064,254.91 : 4,316,728.50 = 4,316,728.50 : x
  2. Step 2: Convert to fraction form
    2,064,254.91/4,316,728.50 = 4,316,728.50/x
  3. Step 3: Cross multiply
    2,064,254.91x = 4,316,728.50 × 4,316,728.50
  4. Step 4: Simplify right side
    2,064,254.91x = 18,634,144,942,712.25
  5. Step 5: Solve for x
    x = 18,634,144,942,712.25/2,064,254.91
  6. Step 6: Final answer
    x = 9,027,056.15

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.