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Finding the Third Proportional to 486,475 and 1,036,095

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Solution

The third proportional to 486,475 and 1,036,095 is: 2,206,676.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,475 : 1,036,095 = 1,036,095 : x
  2. Step 2: Convert to fraction form
    486,475/1,036,095 = 1,036,095/x
  3. Step 3: Cross multiply
    486,475x = 1,036,095 × 1,036,095
  4. Step 4: Simplify right side
    486,475x = 1,073,492,849,025
  5. Step 5: Solve for x
    x = 1,073,492,849,025/486,475
  6. Step 6: Final answer
    x = 2,206,676.29

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.