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Finding the Third Proportional to 977,106.75 and 1,509,952.50

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Solution

The third proportional to 977,106.75 and 1,509,952.50 is: 2,333,375.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    977,106.75 : 1,509,952.50 = 1,509,952.50 : x
  2. Step 2: Convert to fraction form
    977,106.75/1,509,952.50 = 1,509,952.50/x
  3. Step 3: Cross multiply
    977,106.75x = 1,509,952.50 × 1,509,952.50
  4. Step 4: Simplify right side
    977,106.75x = 2,279,956,552,256.25
  5. Step 5: Solve for x
    x = 2,279,956,552,256.25/977,106.75
  6. Step 6: Final answer
    x = 2,333,375.09

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.