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Finding the Third Proportional to 294,448,768 and 619,357,928

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Solution

The third proportional to 294,448,768 and 619,357,928 is: 1,302,787,733.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,448,768 : 619,357,928 = 619,357,928 : x
  2. Step 2: Convert to fraction form
    294,448,768/619,357,928 = 619,357,928/x
  3. Step 3: Cross multiply
    294,448,768x = 619,357,928 × 619,357,928
  4. Step 4: Simplify right side
    294,448,768x = 383,604,242,976,453,184
  5. Step 5: Solve for x
    x = 383,604,242,976,453,184/294,448,768
  6. Step 6: Final answer
    x = 1,302,787,733.10

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.