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Finding the Third Proportional to 656,303 and 1,012,455

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Solution

The third proportional to 656,303 and 1,012,455 is: 1,561,877.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,303 : 1,012,455 = 1,012,455 : x
  2. Step 2: Convert to fraction form
    656,303/1,012,455 = 1,012,455/x
  3. Step 3: Cross multiply
    656,303x = 1,012,455 × 1,012,455
  4. Step 4: Simplify right side
    656,303x = 1,025,065,127,025
  5. Step 5: Solve for x
    x = 1,025,065,127,025/656,303
  6. Step 6: Final answer
    x = 1,561,877.86

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