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Finding the Third Proportional to 310,974,890 and 719,925,929

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Solution

The third proportional to 310,974,890 and 719,925,929 is: 1,666,672,647.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,974,890 : 719,925,929 = 719,925,929 : x
  2. Step 2: Convert to fraction form
    310,974,890/719,925,929 = 719,925,929/x
  3. Step 3: Cross multiply
    310,974,890x = 719,925,929 × 719,925,929
  4. Step 4: Simplify right side
    310,974,890x = 518,293,343,246,513,024
  5. Step 5: Solve for x
    x = 518,293,343,246,513,024/310,974,890
  6. Step 6: Final answer
    x = 1,666,672,647.58

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.