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Finding the Third Proportional to 930,000 and 1,316,313

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Solution

The third proportional to 930,000 and 1,316,313 is: 1,863,096.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    930,000 : 1,316,313 = 1,316,313 : x
  2. Step 2: Convert to fraction form
    930,000/1,316,313 = 1,316,313/x
  3. Step 3: Cross multiply
    930,000x = 1,316,313 × 1,316,313
  4. Step 4: Simplify right side
    930,000x = 1,732,679,913,969
  5. Step 5: Solve for x
    x = 1,732,679,913,969/930,000
  6. Step 6: Final answer
    x = 1,863,096.68

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.