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Finding the Third Proportional to 446,670 and 972,076

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Solution

The third proportional to 446,670 and 972,076 is: 2,115,503.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,670 : 972,076 = 972,076 : x
  2. Step 2: Convert to fraction form
    446,670/972,076 = 972,076/x
  3. Step 3: Cross multiply
    446,670x = 972,076 × 972,076
  4. Step 4: Simplify right side
    446,670x = 944,931,749,776
  5. Step 5: Solve for x
    x = 944,931,749,776/446,670
  6. Step 6: Final answer
    x = 2,115,503.06

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Why These Related Problems?

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