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Finding the Third Proportional to 470,136 and 1,033,572

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Solution

The third proportional to 470,136 and 1,033,572 is: 2,272,259.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,136 : 1,033,572 = 1,033,572 : x
  2. Step 2: Convert to fraction form
    470,136/1,033,572 = 1,033,572/x
  3. Step 3: Cross multiply
    470,136x = 1,033,572 × 1,033,572
  4. Step 4: Simplify right side
    470,136x = 1,068,271,079,184
  5. Step 5: Solve for x
    x = 1,068,271,079,184/470,136
  6. Step 6: Final answer
    x = 2,272,259.68

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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.