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Finding the Third Proportional to 713,828 and 1,051,005

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Solution

The third proportional to 713,828 and 1,051,005 is: 1,547,447.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,828 : 1,051,005 = 1,051,005 : x
  2. Step 2: Convert to fraction form
    713,828/1,051,005 = 1,051,005/x
  3. Step 3: Cross multiply
    713,828x = 1,051,005 × 1,051,005
  4. Step 4: Simplify right side
    713,828x = 1,104,611,510,025
  5. Step 5: Solve for x
    x = 1,104,611,510,025/713,828
  6. Step 6: Final answer
    x = 1,547,447.72

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Why These Related Problems?

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