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Finding the Third Proportional to 484,558,931 and 1,056,817,929

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Solution

The third proportional to 484,558,931 and 1,056,817,929 is: 2,304,908,781.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,558,931 : 1,056,817,929 = 1,056,817,929 : x
  2. Step 2: Convert to fraction form
    484,558,931/1,056,817,929 = 1,056,817,929/x
  3. Step 3: Cross multiply
    484,558,931x = 1,056,817,929 × 1,056,817,929
  4. Step 4: Simplify right side
    484,558,931x = 1,116,864,135,055,849,088
  5. Step 5: Solve for x
    x = 1,116,864,135,055,849,088/484,558,931
  6. Step 6: Final answer
    x = 2,304,908,781.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.