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Finding the Third Proportional to 556,254,709 and 1,209,265,034

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Solution

The third proportional to 556,254,709 and 1,209,265,034 is: 2,628,871,088.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,254,709 : 1,209,265,034 = 1,209,265,034 : x
  2. Step 2: Convert to fraction form
    556,254,709/1,209,265,034 = 1,209,265,034/x
  3. Step 3: Cross multiply
    556,254,709x = 1,209,265,034 × 1,209,265,034
  4. Step 4: Simplify right side
    556,254,709x = 1,462,321,922,455,021,056
  5. Step 5: Solve for x
    x = 1,462,321,922,455,021,056/556,254,709
  6. Step 6: Final answer
    x = 2,628,871,088.72

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.