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Finding the Third Proportional to 1,047,570,712 and 1,456,563,264

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Solution

The third proportional to 1,047,570,712 and 1,456,563,264 is: 2,025,234,686.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047,570,712 : 1,456,563,264 = 1,456,563,264 : x
  2. Step 2: Convert to fraction form
    1,047,570,712/1,456,563,264 = 1,456,563,264/x
  3. Step 3: Cross multiply
    1,047,570,712x = 1,456,563,264 × 1,456,563,264
  4. Step 4: Simplify right side
    1,047,570,712x = 2,121,576,542,034,333,696
  5. Step 5: Solve for x
    x = 2,121,576,542,034,333,696/1,047,570,712
  6. Step 6: Final answer
    x = 2,025,234,686.05

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Why These Related Problems?

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