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Finding the Third Proportional to 637,110.56 and 964,931.06

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Solution

The third proportional to 637,110.56 and 964,931.06 is: 1,461,429.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    637,110.56 : 964,931.06 = 964,931.06 : x
  2. Step 2: Convert to fraction form
    637,110.56/964,931.06 = 964,931.06/x
  3. Step 3: Cross multiply
    637,110.56x = 964,931.06 × 964,931.06
  4. Step 4: Simplify right side
    637,110.56x = 931,091,955,377.38
  5. Step 5: Solve for x
    x = 931,091,955,377.38/637,110.56
  6. Step 6: Final answer
    x = 1,461,429.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.