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Finding the Third Proportional to 455,984,758 and 924,657,820

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Solution

The third proportional to 455,984,758 and 924,657,820 is: 1,875,045,314.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,984,758 : 924,657,820 = 924,657,820 : x
  2. Step 2: Convert to fraction form
    455,984,758/924,657,820 = 924,657,820/x
  3. Step 3: Cross multiply
    455,984,758x = 924,657,820 × 924,657,820
  4. Step 4: Simplify right side
    455,984,758x = 854,992,084,087,152,384
  5. Step 5: Solve for x
    x = 854,992,084,087,152,384/455,984,758
  6. Step 6: Final answer
    x = 1,875,045,314.75

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.