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Finding the Third Proportional to 470,747 and 1,036,506

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Solution

The third proportional to 470,747 and 1,036,506 is: 2,282,212.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,747 : 1,036,506 = 1,036,506 : x
  2. Step 2: Convert to fraction form
    470,747/1,036,506 = 1,036,506/x
  3. Step 3: Cross multiply
    470,747x = 1,036,506 × 1,036,506
  4. Step 4: Simplify right side
    470,747x = 1,074,344,688,036
  5. Step 5: Solve for x
    x = 1,074,344,688,036/470,747
  6. Step 6: Final answer
    x = 2,282,212.50

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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.