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Finding the Third Proportional to 656,176 and 1,013,342

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Solution

The third proportional to 656,176 and 1,013,342 is: 1,564,918.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,176 : 1,013,342 = 1,013,342 : x
  2. Step 2: Convert to fraction form
    656,176/1,013,342 = 1,013,342/x
  3. Step 3: Cross multiply
    656,176x = 1,013,342 × 1,013,342
  4. Step 4: Simplify right side
    656,176x = 1,026,862,008,964
  5. Step 5: Solve for x
    x = 1,026,862,008,964/656,176
  6. Step 6: Final answer
    x = 1,564,918.57

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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.