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Finding the Third Proportional to 1,610,804.25 and 3,473,674.88

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Solution

The third proportional to 1,610,804.25 and 3,473,674.88 is: 7,490,927.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,610,804.25 : 3,473,674.88 = 3,473,674.88 : x
  2. Step 2: Convert to fraction form
    1,610,804.25/3,473,674.88 = 3,473,674.88/x
  3. Step 3: Cross multiply
    1,610,804.25x = 3,473,674.88 × 3,473,674.88
  4. Step 4: Simplify right side
    1,610,804.25x = 12,066,417,137,206.27
  5. Step 5: Solve for x
    x = 12,066,417,137,206.27/1,610,804.25
  6. Step 6: Final answer
    x = 7,490,927.06

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.