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Finding the Third Proportional to 1,300,160 and 2,009,184

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Solution

The third proportional to 1,300,160 and 2,009,184 is: 3,104,864.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,300,160 : 2,009,184 = 2,009,184 : x
  2. Step 2: Convert to fraction form
    1,300,160/2,009,184 = 2,009,184/x
  3. Step 3: Cross multiply
    1,300,160x = 2,009,184 × 2,009,184
  4. Step 4: Simplify right side
    1,300,160x = 4,036,820,345,856
  5. Step 5: Solve for x
    x = 4,036,820,345,856/1,300,160
  6. Step 6: Final answer
    x = 3,104,864.28

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.