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Finding the Third Proportional to 470,300 and 1,014,944

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Solution

The third proportional to 470,300 and 1,014,944 is: 2,190,328.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,300 : 1,014,944 = 1,014,944 : x
  2. Step 2: Convert to fraction form
    470,300/1,014,944 = 1,014,944/x
  3. Step 3: Cross multiply
    470,300x = 1,014,944 × 1,014,944
  4. Step 4: Simplify right side
    470,300x = 1,030,111,323,136
  5. Step 5: Solve for x
    x = 1,030,111,323,136/470,300
  6. Step 6: Final answer
    x = 2,190,328.14

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.