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Finding the Third Proportional to 833,490.47 and 1,256,809.53

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Solution

The third proportional to 833,490.47 and 1,256,809.53 is: 1,895,126.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    833,490.47 : 1,256,809.53 = 1,256,809.53 : x
  2. Step 2: Convert to fraction form
    833,490.47/1,256,809.53 = 1,256,809.53/x
  3. Step 3: Cross multiply
    833,490.47x = 1,256,809.53 × 1,256,809.53
  4. Step 4: Simplify right side
    833,490.47x = 1,579,570,185,567.35
  5. Step 5: Solve for x
    x = 1,579,570,185,567.35/833,490.47
  6. Step 6: Final answer
    x = 1,895,126.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.