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Finding the Third Proportional to 618,312 and 983,569

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Solution

The third proportional to 618,312 and 983,569 is: 1,564,595.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    618,312 : 983,569 = 983,569 : x
  2. Step 2: Convert to fraction form
    618,312/983,569 = 983,569/x
  3. Step 3: Cross multiply
    618,312x = 983,569 × 983,569
  4. Step 4: Simplify right side
    618,312x = 967,407,977,761
  5. Step 5: Solve for x
    x = 967,407,977,761/618,312
  6. Step 6: Final answer
    x = 1,564,595.18

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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.