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Finding the Third Proportional to 467,007 and 1,020,537

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Solution

The third proportional to 467,007 and 1,020,537 is: 2,230,150.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,007 : 1,020,537 = 1,020,537 : x
  2. Step 2: Convert to fraction form
    467,007/1,020,537 = 1,020,537/x
  3. Step 3: Cross multiply
    467,007x = 1,020,537 × 1,020,537
  4. Step 4: Simplify right side
    467,007x = 1,041,495,768,369
  5. Step 5: Solve for x
    x = 1,041,495,768,369/467,007
  6. Step 6: Final answer
    x = 2,230,150.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.