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Finding the Third Proportional to 623,826 and 1,004,643

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Solution

The third proportional to 623,826 and 1,004,643 is: 1,617,931.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,826 : 1,004,643 = 1,004,643 : x
  2. Step 2: Convert to fraction form
    623,826/1,004,643 = 1,004,643/x
  3. Step 3: Cross multiply
    623,826x = 1,004,643 × 1,004,643
  4. Step 4: Simplify right side
    623,826x = 1,009,307,557,449
  5. Step 5: Solve for x
    x = 1,009,307,557,449/623,826
  6. Step 6: Final answer
    x = 1,617,931.21

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.