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Finding the Third Proportional to 501,848 and 1,104,784

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Solution

The third proportional to 501,848 and 1,104,784 is: 2,432,106.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,848 : 1,104,784 = 1,104,784 : x
  2. Step 2: Convert to fraction form
    501,848/1,104,784 = 1,104,784/x
  3. Step 3: Cross multiply
    501,848x = 1,104,784 × 1,104,784
  4. Step 4: Simplify right side
    501,848x = 1,220,547,686,656
  5. Step 5: Solve for x
    x = 1,220,547,686,656/501,848
  6. Step 6: Final answer
    x = 2,432,106.31

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.