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Finding the Third Proportional to 670,983 and 997,362

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Solution

The third proportional to 670,983 and 997,362 is: 1,482,498.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    670,983 : 997,362 = 997,362 : x
  2. Step 2: Convert to fraction form
    670,983/997,362 = 997,362/x
  3. Step 3: Cross multiply
    670,983x = 997,362 × 997,362
  4. Step 4: Simplify right side
    670,983x = 994,730,959,044
  5. Step 5: Solve for x
    x = 994,730,959,044/670,983
  6. Step 6: Final answer
    x = 1,482,498.01

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.