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Finding the Third Proportional to 585,318,364 and 841,307,814

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Solution

The third proportional to 585,318,364 and 841,307,814 is: 1,209,254,452.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,318,364 : 841,307,814 = 841,307,814 : x
  2. Step 2: Convert to fraction form
    585,318,364/841,307,814 = 841,307,814/x
  3. Step 3: Cross multiply
    585,318,364x = 841,307,814 × 841,307,814
  4. Step 4: Simplify right side
    585,318,364x = 707,798,837,897,458,560
  5. Step 5: Solve for x
    x = 707,798,837,897,458,560/585,318,364
  6. Step 6: Final answer
    x = 1,209,254,452.67

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.