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Finding the Third Proportional to 1,127,455,254 and 1,724,879,529

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Solution

The third proportional to 1,127,455,254 and 1,724,879,529 is: 2,638,871,368.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,127,455,254 : 1,724,879,529 = 1,724,879,529 : x
  2. Step 2: Convert to fraction form
    1,127,455,254/1,724,879,529 = 1,724,879,529/x
  3. Step 3: Cross multiply
    1,127,455,254x = 1,724,879,529 × 1,724,879,529
  4. Step 4: Simplify right side
    1,127,455,254x = 2,975,209,389,563,261,952
  5. Step 5: Solve for x
    x = 2,975,209,389,563,261,952/1,127,455,254
  6. Step 6: Final answer
    x = 2,638,871,368.96

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.