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Finding the Third Proportional to 546,482,594 and 839,457,111

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Solution

The third proportional to 546,482,594 and 839,457,111 is: 1,289,498,053.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,482,594 : 839,457,111 = 839,457,111 : x
  2. Step 2: Convert to fraction form
    546,482,594/839,457,111 = 839,457,111/x
  3. Step 3: Cross multiply
    546,482,594x = 839,457,111 × 839,457,111
  4. Step 4: Simplify right side
    546,482,594x = 704,688,241,208,466,304
  5. Step 5: Solve for x
    x = 704,688,241,208,466,304/546,482,594
  6. Step 6: Final answer
    x = 1,289,498,053.45

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.