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Finding the Third Proportional to 1,047,570,592 and 1,456,563,174

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Solution

The third proportional to 1,047,570,592 and 1,456,563,174 is: 2,025,234,667.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047,570,592 : 1,456,563,174 = 1,456,563,174 : x
  2. Step 2: Convert to fraction form
    1,047,570,592/1,456,563,174 = 1,456,563,174/x
  3. Step 3: Cross multiply
    1,047,570,592x = 1,456,563,174 × 1,456,563,174
  4. Step 4: Simplify right side
    1,047,570,592x = 2,121,576,279,852,954,368
  5. Step 5: Solve for x
    x = 2,121,576,279,852,954,368/1,047,570,592
  6. Step 6: Final answer
    x = 2,025,234,667.77

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.