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Finding the Third Proportional to 975,460 and 2,129,672

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Solution

The third proportional to 975,460 and 2,129,672 is: 4,649,604.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    975,460 : 2,129,672 = 2,129,672 : x
  2. Step 2: Convert to fraction form
    975,460/2,129,672 = 2,129,672/x
  3. Step 3: Cross multiply
    975,460x = 2,129,672 × 2,129,672
  4. Step 4: Simplify right side
    975,460x = 4,535,502,827,584
  5. Step 5: Solve for x
    x = 4,535,502,827,584/975,460
  6. Step 6: Final answer
    x = 4,649,604.11

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