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Finding the Third Proportional to 474,130 and 1,027,316

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Solution

The third proportional to 474,130 and 1,027,316 is: 2,225,925.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,130 : 1,027,316 = 1,027,316 : x
  2. Step 2: Convert to fraction form
    474,130/1,027,316 = 1,027,316/x
  3. Step 3: Cross multiply
    474,130x = 1,027,316 × 1,027,316
  4. Step 4: Simplify right side
    474,130x = 1,055,378,163,856
  5. Step 5: Solve for x
    x = 1,055,378,163,856/474,130
  6. Step 6: Final answer
    x = 2,225,925.72

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.