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Finding the Third Proportional to 1,164,784 and 2,386,024

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Solution

The third proportional to 1,164,784 and 2,386,024 is: 4,887,696.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164,784 : 2,386,024 = 2,386,024 : x
  2. Step 2: Convert to fraction form
    1,164,784/2,386,024 = 2,386,024/x
  3. Step 3: Cross multiply
    1,164,784x = 2,386,024 × 2,386,024
  4. Step 4: Simplify right side
    1,164,784x = 5,693,110,528,576
  5. Step 5: Solve for x
    x = 5,693,110,528,576/1,164,784
  6. Step 6: Final answer
    x = 4,887,696.37

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.