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Finding the Third Proportional to 1,316,904.33 and 2,885,457.94

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Solution

The third proportional to 1,316,904.33 and 2,885,457.94 is: 6,322,302.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,316,904.33 : 2,885,457.94 = 2,885,457.94 : x
  2. Step 2: Convert to fraction form
    1,316,904.33/2,885,457.94 = 2,885,457.94/x
  3. Step 3: Cross multiply
    1,316,904.33x = 2,885,457.94 × 2,885,457.94
  4. Step 4: Simplify right side
    1,316,904.33x = 8,325,867,509,081.75
  5. Step 5: Solve for x
    x = 8,325,867,509,081.75/1,316,904.33
  6. Step 6: Final answer
    x = 6,322,302.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.