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Finding the Third Proportional to 713,191 and 971,370

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Solution

The third proportional to 713,191 and 971,370 is: 1,323,011.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,191 : 971,370 = 971,370 : x
  2. Step 2: Convert to fraction form
    713,191/971,370 = 971,370/x
  3. Step 3: Cross multiply
    713,191x = 971,370 × 971,370
  4. Step 4: Simplify right side
    713,191x = 943,559,676,900
  5. Step 5: Solve for x
    x = 943,559,676,900/713,191
  6. Step 6: Final answer
    x = 1,323,011.19

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.