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Finding the Third Proportional to 970,942 and 2,112,316

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Solution

The third proportional to 970,942 and 2,112,316 is: 4,595,412.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    970,942 : 2,112,316 = 2,112,316 : x
  2. Step 2: Convert to fraction form
    970,942/2,112,316 = 2,112,316/x
  3. Step 3: Cross multiply
    970,942x = 2,112,316 × 2,112,316
  4. Step 4: Simplify right side
    970,942x = 4,461,878,883,856
  5. Step 5: Solve for x
    x = 4,461,878,883,856/970,942
  6. Step 6: Final answer
    x = 4,595,412.38

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.