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Finding the Third Proportional to 648,134,028 and 926,168,526

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Solution

The third proportional to 648,134,028 and 926,168,526 is: 1,323,473,388.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,134,028 : 926,168,526 = 926,168,526 : x
  2. Step 2: Convert to fraction form
    648,134,028/926,168,526 = 926,168,526/x
  3. Step 3: Cross multiply
    648,134,028x = 926,168,526 × 926,168,526
  4. Step 4: Simplify right side
    648,134,028x = 857,788,138,553,012,736
  5. Step 5: Solve for x
    x = 857,788,138,553,012,736/648,134,028
  6. Step 6: Final answer
    x = 1,323,473,388.98

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.