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Finding the Third Proportional to 556,848,128 and 1,159,431,526

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Solution

The third proportional to 556,848,128 and 1,159,431,526 is: 2,414,089,939.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,848,128 : 1,159,431,526 = 1,159,431,526 : x
  2. Step 2: Convert to fraction form
    556,848,128/1,159,431,526 = 1,159,431,526/x
  3. Step 3: Cross multiply
    556,848,128x = 1,159,431,526 × 1,159,431,526
  4. Step 4: Simplify right side
    556,848,128x = 1,344,281,463,482,688,768
  5. Step 5: Solve for x
    x = 1,344,281,463,482,688,768/556,848,128
  6. Step 6: Final answer
    x = 2,414,089,939.23

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.