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Finding the Third Proportional to 462,166 and 1,000,148

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Solution

The third proportional to 462,166 and 1,000,148 is: 2,164,365.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,166 : 1,000,148 = 1,000,148 : x
  2. Step 2: Convert to fraction form
    462,166/1,000,148 = 1,000,148/x
  3. Step 3: Cross multiply
    462,166x = 1,000,148 × 1,000,148
  4. Step 4: Simplify right side
    462,166x = 1,000,296,021,904
  5. Step 5: Solve for x
    x = 1,000,296,021,904/462,166
  6. Step 6: Final answer
    x = 2,164,365.23

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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.