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Finding the Third Proportional to 941,630 and 1,209,021

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Solution

The third proportional to 941,630 and 1,209,021 is: 1,552,341.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    941,630 : 1,209,021 = 1,209,021 : x
  2. Step 2: Convert to fraction form
    941,630/1,209,021 = 1,209,021/x
  3. Step 3: Cross multiply
    941,630x = 1,209,021 × 1,209,021
  4. Step 4: Simplify right side
    941,630x = 1,461,731,778,441
  5. Step 5: Solve for x
    x = 1,461,731,778,441/941,630
  6. Step 6: Final answer
    x = 1,552,341.98

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.