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Finding the Third Proportional to 704,315 and 1,466,998

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Solution

The third proportional to 704,315 and 1,466,998 is: 3,055,569.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,315 : 1,466,998 = 1,466,998 : x
  2. Step 2: Convert to fraction form
    704,315/1,466,998 = 1,466,998/x
  3. Step 3: Cross multiply
    704,315x = 1,466,998 × 1,466,998
  4. Step 4: Simplify right side
    704,315x = 2,152,083,132,004
  5. Step 5: Solve for x
    x = 2,152,083,132,004/704,315
  6. Step 6: Final answer
    x = 3,055,569.07

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.