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Finding the Third Proportional to 2,185,312.50 and 4,457,335.50

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Solution

The third proportional to 2,185,312.50 and 4,457,335.50 is: 9,091,532.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,185,312.50 : 4,457,335.50 = 4,457,335.50 : x
  2. Step 2: Convert to fraction form
    2,185,312.50/4,457,335.50 = 4,457,335.50/x
  3. Step 3: Cross multiply
    2,185,312.50x = 4,457,335.50 × 4,457,335.50
  4. Step 4: Simplify right side
    2,185,312.50x = 19,867,839,759,560.25
  5. Step 5: Solve for x
    x = 19,867,839,759,560.25/2,185,312.50
  6. Step 6: Final answer
    x = 9,091,532.57

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.