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Finding the Third Proportional to 3,097,929 and 4,461,889.50

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Solution

The third proportional to 3,097,929 and 4,461,889.50 is: 6,426,376.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097,929 : 4,461,889.50 = 4,461,889.50 : x
  2. Step 2: Convert to fraction form
    3,097,929/4,461,889.50 = 4,461,889.50/x
  3. Step 3: Cross multiply
    3,097,929x = 4,461,889.50 × 4,461,889.50
  4. Step 4: Simplify right side
    3,097,929x = 19,908,457,910,210.25
  5. Step 5: Solve for x
    x = 19,908,457,910,210.25/3,097,929
  6. Step 6: Final answer
    x = 6,426,376.43

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.