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Finding the Third Proportional to 761,478 and 1,803,984

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Solution

The third proportional to 761,478 and 1,803,984 is: 4,273,739.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    761,478 : 1,803,984 = 1,803,984 : x
  2. Step 2: Convert to fraction form
    761,478/1,803,984 = 1,803,984/x
  3. Step 3: Cross multiply
    761,478x = 1,803,984 × 1,803,984
  4. Step 4: Simplify right side
    761,478x = 3,254,358,272,256
  5. Step 5: Solve for x
    x = 3,254,358,272,256/761,478
  6. Step 6: Final answer
    x = 4,273,739.06

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These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.