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Finding the Third Proportional to 666,374.98 and 974,569.54

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Solution

The third proportional to 666,374.98 and 974,569.54 is: 1,425,302.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,374.98 : 974,569.54 = 974,569.54 : x
  2. Step 2: Convert to fraction form
    666,374.98/974,569.54 = 974,569.54/x
  3. Step 3: Cross multiply
    666,374.98x = 974,569.54 × 974,569.54
  4. Step 4: Simplify right side
    666,374.98x = 949,785,778,854.67
  5. Step 5: Solve for x
    x = 949,785,778,854.67/666,374.98
  6. Step 6: Final answer
    x = 1,425,302.29

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.