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Finding the Third Proportional to 571,069,038 and 770,506,209

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Solution

The third proportional to 571,069,038 and 770,506,209 is: 1,039,593,776.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,069,038 : 770,506,209 = 770,506,209 : x
  2. Step 2: Convert to fraction form
    571,069,038/770,506,209 = 770,506,209/x
  3. Step 3: Cross multiply
    571,069,038x = 770,506,209 × 770,506,209
  4. Step 4: Simplify right side
    571,069,038x = 593,679,818,107,551,744
  5. Step 5: Solve for x
    x = 593,679,818,107,551,744/571,069,038
  6. Step 6: Final answer
    x = 1,039,593,776.94

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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.