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Finding the Third Proportional to 653,510 and 999,490

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Solution

The third proportional to 653,510 and 999,490 is: 1,528,638.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,510 : 999,490 = 999,490 : x
  2. Step 2: Convert to fraction form
    653,510/999,490 = 999,490/x
  3. Step 3: Cross multiply
    653,510x = 999,490 × 999,490
  4. Step 4: Simplify right side
    653,510x = 998,980,260,100
  5. Step 5: Solve for x
    x = 998,980,260,100/653,510
  6. Step 6: Final answer
    x = 1,528,638.06

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.