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Finding the Third Proportional to 453,036.38 and 977,000.06

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Solution

The third proportional to 453,036.38 and 977,000.06 is: 2,106,959.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,036.38 : 977,000.06 = 977,000.06 : x
  2. Step 2: Convert to fraction form
    453,036.38/977,000.06 = 977,000.06/x
  3. Step 3: Cross multiply
    453,036.38x = 977,000.06 × 977,000.06
  4. Step 4: Simplify right side
    453,036.38x = 954,529,122,125.00
  5. Step 5: Solve for x
    x = 954,529,122,125.00/453,036.38
  6. Step 6: Final answer
    x = 2,106,959.12

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.