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Finding the Third Proportional to 604,440 and 906,948

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Solution

The third proportional to 604,440 and 906,948 is: 1,360,854.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,440 : 906,948 = 906,948 : x
  2. Step 2: Convert to fraction form
    604,440/906,948 = 906,948/x
  3. Step 3: Cross multiply
    604,440x = 906,948 × 906,948
  4. Step 4: Simplify right side
    604,440x = 822,554,674,704
  5. Step 5: Solve for x
    x = 822,554,674,704/604,440
  6. Step 6: Final answer
    x = 1,360,854.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.