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Finding the Third Proportional to 972,346 and 2,100,486

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Solution

The third proportional to 972,346 and 2,100,486 is: 4,537,522.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    972,346 : 2,100,486 = 2,100,486 : x
  2. Step 2: Convert to fraction form
    972,346/2,100,486 = 2,100,486/x
  3. Step 3: Cross multiply
    972,346x = 2,100,486 × 2,100,486
  4. Step 4: Simplify right side
    972,346x = 4,412,041,436,196
  5. Step 5: Solve for x
    x = 4,412,041,436,196/972,346
  6. Step 6: Final answer
    x = 4,537,522.07

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Why These Related Problems?

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