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Finding the Third Proportional to 616,574,930 and 890,844,298.25

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Solution

The third proportional to 616,574,930 and 890,844,298.25 is: 1,287,116,172.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,574,930 : 890,844,298.25 = 890,844,298.25 : x
  2. Step 2: Convert to fraction form
    616,574,930/890,844,298.25 = 890,844,298.25/x
  3. Step 3: Cross multiply
    616,574,930x = 890,844,298.25 × 890,844,298.25
  4. Step 4: Simplify right side
    616,574,930x = 793,603,563,724,534,912
  5. Step 5: Solve for x
    x = 793,603,563,724,534,912/616,574,930
  6. Step 6: Final answer
    x = 1,287,116,172.12

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.