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Finding the Third Proportional to 713,826 and 1,051,002

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Solution

The third proportional to 713,826 and 1,051,002 is: 1,547,443.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,826 : 1,051,002 = 1,051,002 : x
  2. Step 2: Convert to fraction form
    713,826/1,051,002 = 1,051,002/x
  3. Step 3: Cross multiply
    713,826x = 1,051,002 × 1,051,002
  4. Step 4: Simplify right side
    713,826x = 1,104,605,204,004
  5. Step 5: Solve for x
    x = 1,104,605,204,004/713,826
  6. Step 6: Final answer
    x = 1,547,443.22

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.