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Finding the Third Proportional to 470,944 and 1,017,316

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Solution

The third proportional to 470,944 and 1,017,316 is: 2,197,568.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,944 : 1,017,316 = 1,017,316 : x
  2. Step 2: Convert to fraction form
    470,944/1,017,316 = 1,017,316/x
  3. Step 3: Cross multiply
    470,944x = 1,017,316 × 1,017,316
  4. Step 4: Simplify right side
    470,944x = 1,034,931,843,856
  5. Step 5: Solve for x
    x = 1,034,931,843,856/470,944
  6. Step 6: Final answer
    x = 2,197,568.81

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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.