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Finding the Third Proportional to 468,020 and 912,712

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Solution

The third proportional to 468,020 and 912,712 is: 1,779,930.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,020 : 912,712 = 912,712 : x
  2. Step 2: Convert to fraction form
    468,020/912,712 = 912,712/x
  3. Step 3: Cross multiply
    468,020x = 912,712 × 912,712
  4. Step 4: Simplify right side
    468,020x = 833,043,194,944
  5. Step 5: Solve for x
    x = 833,043,194,944/468,020
  6. Step 6: Final answer
    x = 1,779,930.76

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.