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Finding the Third Proportional to 500,839,060 and 692,064,921

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Solution

The third proportional to 500,839,060 and 692,064,921 is: 956,302,918.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,839,060 : 692,064,921 = 692,064,921 : x
  2. Step 2: Convert to fraction form
    500,839,060/692,064,921 = 692,064,921/x
  3. Step 3: Cross multiply
    500,839,060x = 692,064,921 × 692,064,921
  4. Step 4: Simplify right side
    500,839,060x = 478,953,854,878,736,256
  5. Step 5: Solve for x
    x = 478,953,854,878,736,256/500,839,060
  6. Step 6: Final answer
    x = 956,302,918.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.