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Finding the Third Proportional to 618,310 and 983,566

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Solution

The third proportional to 618,310 and 983,566 is: 1,564,590.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    618,310 : 983,566 = 983,566 : x
  2. Step 2: Convert to fraction form
    618,310/983,566 = 983,566/x
  3. Step 3: Cross multiply
    618,310x = 983,566 × 983,566
  4. Step 4: Simplify right side
    618,310x = 967,402,076,356
  5. Step 5: Solve for x
    x = 967,402,076,356/618,310
  6. Step 6: Final answer
    x = 1,564,590.70

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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.