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Finding the Third Proportional to 973,989 and 1,497,921.75

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Solution

The third proportional to 973,989 and 1,497,921.75 is: 2,303,690.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    973,989 : 1,497,921.75 = 1,497,921.75 : x
  2. Step 2: Convert to fraction form
    973,989/1,497,921.75 = 1,497,921.75/x
  3. Step 3: Cross multiply
    973,989x = 1,497,921.75 × 1,497,921.75
  4. Step 4: Simplify right side
    973,989x = 2,243,769,569,123.06
  5. Step 5: Solve for x
    x = 2,243,769,569,123.06/973,989
  6. Step 6: Final answer
    x = 2,303,690.87

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.