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Finding the Third Proportional to 612,927 and 974,025

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Solution

The third proportional to 612,927 and 974,025 is: 1,547,859.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,927 : 974,025 = 974,025 : x
  2. Step 2: Convert to fraction form
    612,927/974,025 = 974,025/x
  3. Step 3: Cross multiply
    612,927x = 974,025 × 974,025
  4. Step 4: Simplify right side
    612,927x = 948,724,700,625
  5. Step 5: Solve for x
    x = 948,724,700,625/612,927
  6. Step 6: Final answer
    x = 1,547,859.21

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.