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Finding the Third Proportional to 560,896 and 1,216,428

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Solution

The third proportional to 560,896 and 1,216,428 is: 2,638,095.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,896 : 1,216,428 = 1,216,428 : x
  2. Step 2: Convert to fraction form
    560,896/1,216,428 = 1,216,428/x
  3. Step 3: Cross multiply
    560,896x = 1,216,428 × 1,216,428
  4. Step 4: Simplify right side
    560,896x = 1,479,697,079,184
  5. Step 5: Solve for x
    x = 1,479,697,079,184/560,896
  6. Step 6: Final answer
    x = 2,638,095.26

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.