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Finding the Third Proportional to 571,068,973.50 and 770,506,128

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Solution

The third proportional to 571,068,973.50 and 770,506,128 is: 1,039,593,675.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,068,973.50 : 770,506,128 = 770,506,128 : x
  2. Step 2: Convert to fraction form
    571,068,973.50/770,506,128 = 770,506,128/x
  3. Step 3: Cross multiply
    571,068,973.50x = 770,506,128 × 770,506,128
  4. Step 4: Simplify right side
    571,068,973.50x = 593,679,693,285,552,384
  5. Step 5: Solve for x
    x = 593,679,693,285,552,384/571,068,973.50
  6. Step 6: Final answer
    x = 1,039,593,675.78

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.