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Finding the Third Proportional to 449,658 and 931,011

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Solution

The third proportional to 449,658 and 931,011 is: 1,927,646.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,658 : 931,011 = 931,011 : x
  2. Step 2: Convert to fraction form
    449,658/931,011 = 931,011/x
  3. Step 3: Cross multiply
    449,658x = 931,011 × 931,011
  4. Step 4: Simplify right side
    449,658x = 866,781,482,121
  5. Step 5: Solve for x
    x = 866,781,482,121/449,658
  6. Step 6: Final answer
    x = 1,927,646.08

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.