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Finding the Third Proportional to 1,465,904 and 3,182,476

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Solution

The third proportional to 1,465,904 and 3,182,476 is: 6,909,151.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,465,904 : 3,182,476 = 3,182,476 : x
  2. Step 2: Convert to fraction form
    1,465,904/3,182,476 = 3,182,476/x
  3. Step 3: Cross multiply
    1,465,904x = 3,182,476 × 3,182,476
  4. Step 4: Simplify right side
    1,465,904x = 10,128,153,490,576
  5. Step 5: Solve for x
    x = 10,128,153,490,576/1,465,904
  6. Step 6: Final answer
    x = 6,909,151.96

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.