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Finding the Third Proportional to 586,456,431 and 860,513,242.50

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Solution

The third proportional to 586,456,431 and 860,513,242.50 is: 1,262,639,475.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,456,431 : 860,513,242.50 = 860,513,242.50 : x
  2. Step 2: Convert to fraction form
    586,456,431/860,513,242.50 = 860,513,242.50/x
  3. Step 3: Cross multiply
    586,456,431x = 860,513,242.50 × 860,513,242.50
  4. Step 4: Simplify right side
    586,456,431x = 740,483,040,517,863,808
  5. Step 5: Solve for x
    x = 740,483,040,517,863,808/586,456,431
  6. Step 6: Final answer
    x = 1,262,639,475.63

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.