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Finding the Third Proportional to 490,210,484 and 1,057,888,943

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Solution

The third proportional to 490,210,484 and 1,057,888,943 is: 2,282,956,102.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,210,484 : 1,057,888,943 = 1,057,888,943 : x
  2. Step 2: Convert to fraction form
    490,210,484/1,057,888,943 = 1,057,888,943/x
  3. Step 3: Cross multiply
    490,210,484x = 1,057,888,943 × 1,057,888,943
  4. Step 4: Simplify right side
    490,210,484x = 1,119,129,015,721,657,216
  5. Step 5: Solve for x
    x = 1,119,129,015,721,657,216/490,210,484
  6. Step 6: Final answer
    x = 2,282,956,102.02

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.